{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T11:41:21Z","timestamp":1778758881409,"version":"3.51.4"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2015,4,16]],"date-time":"2015-04-16T00:00:00Z","timestamp":1429142400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Mediterr. J. Math."],"published-print":{"date-parts":[[2016,6]]},"DOI":"10.1007\/s00009-015-0561-z","type":"journal-article","created":{"date-parts":[[2015,4,15]],"date-time":"2015-04-15T09:06:26Z","timestamp":1429088786000},"page":"1151-1165","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Maximal Operator in Variable Exponent Generalized Morrey Spaces on Quasi-metric Measure Space"],"prefix":"10.1007","volume":"13","author":[{"given":"Vagif S.","family":"Guliyev","sequence":"first","affiliation":[]},{"given":"Stefan G.","family":"Samko","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,4,16]]},"reference":[{"key":"561_CR1","doi-asserted-by":"crossref","unstructured":"Adamowicz, T., Harjulehto, P., H\u00e4st\u00f6, P.: Maximal operator in variable exponent Lebesgue spaces on unbounded quasimetric measure spaces. J. Math. Scand. 116(1), 5\u201322 (2015). http:\/\/www.helsinki.fi\/pharjule\/varsob\/pdf\/maximal-submitted","DOI":"10.7146\/math.scand.a-20448"},{"issue":"1","key":"561_CR2","doi-asserted-by":"crossref","first-page":"27","DOI":"10.21136\/MB.2012.142786","volume":"13","author":"A. Akbulut","year":"2012","unstructured":"Akbulut A., Guliyev V.S., Mustafayev R.: On the boundedness of the maximal operator and singular integral operators in generalized morrey spaces. Math. Bohem. 13(1), 27\u201343 (2012)","journal-title":"Math. Bohem."},{"issue":"2","key":"561_CR3","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1515\/GMJ.2008.195","volume":"15","author":"A. Almeida","year":"2008","unstructured":"Almeida A., Hasanov J., Samko S.: Maximal and potential operators in variable exponent Morrey spaces. Georgian Math. J. 15(2), 195\u2013208 (2008)","journal-title":"Georgian Math. J."},{"key":"561_CR4","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1016\/j.jmaa.2008.12.034","volume":"353","author":"A. Almeida","year":"2009","unstructured":"Almeida A., Samko S.: Embeddings of variable Hajlasz\u2013Sobolev spaces into H\u00f6lder spaces of variable order. J. Math. Anal. Appl. 353, 489\u2013496 (2009)","journal-title":"J. Math. Anal. Appl."},{"key":"561_CR5","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/s00009-009-0006-7","volume":"6","author":"A. Almeida","year":"2009","unstructured":"Almeida A., Samko S.: Fractional and hypersingular operators in variable exponent spaces on metric measure spaces. Meditter. J. Math. 6, 215\u2013232 (2009)","journal-title":"Meditter. J. Math."},{"issue":"8\u201310","key":"561_CR6","doi-asserted-by":"crossref","first-page":"739","DOI":"10.1080\/17476930903394697","volume":"55","author":"V.I. Burenkov","year":"2010","unstructured":"Burenkov V.I., Gogatishvili A., Guliyev V.S., Mustafayev R.C.: Boundedness of the fractional maximal operator in local Morrey-type spaces. Complex Var. Elliptic Equ. 55(8\u201310), 739\u2013758 (2010)","journal-title":"Complex Var. Elliptic Equ."},{"key":"561_CR7","first-page":"273","volume":"7","author":"F. Chiarenza","year":"1987","unstructured":"Chiarenza F., Frasca M.: Morrey spaces and Hardy-Littlewood maximal function. Rend. Math. 7, 273\u2013279 (1987)","journal-title":"Rend. Math."},{"key":"561_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-0348-0548-3","volume-title":"Variable Lebesgue Spaces","author":"D. Cruz-Uribe","year":"2013","unstructured":"Cruz-Uribe D., Fiorenza A.: Variable Lebesgue Spaces. Foundations and Harmonic Analysis, Birkh\u00e4user (2013)"},{"key":"561_CR9","first-page":"223","volume":"28","author":"D. Cruz-Uribe","year":"2003","unstructured":"Cruz-Uribe D., Fiorenza A., Neugebauer C.J.: The maximal function on variable L p -spaces. Ann. Acad. Sci. Fenn. Math. 28, 223\u2013238 (2003)","journal-title":"Ann. Acad. Sci. Fenn. Math."},{"key":"561_CR10","doi-asserted-by":"crossref","unstructured":"Diening, L., Harjulehto, P., H\u00e4st\u00f6, P., Ru\u030a\u017ei\u010dka, M.: Lebesgue and Sobolev spaces with variable exponents. In: Lecture Notes in Mathematics, vol. 2017. Springer, Berlin (2011)","DOI":"10.1007\/978-3-642-18363-8"},{"key":"561_CR11","doi-asserted-by":"crossref","unstructured":"Edmunds, D.E., Kokilashvili, V., Meskhi, A.: Bounded and compact integral operators. In: Mathematics and its Applications, vol. 543. Kluwer, Dordrecht (2002)","DOI":"10.1007\/978-94-015-9922-1"},{"issue":"3","key":"561_CR12","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1007\/BF02106979","volume":"12","author":"X. Fan","year":"1996","unstructured":"Fan X.: The regularity of Lagrangians $${f(x,\\xi )=\\vert \\xi \\vert ^{\\alpha (x)}}$$ f ( x , \u03be ) = | \u03be | \u03b1 ( x ) with H\u00f6lder exponents $${\\alpha (x)}$$ \u03b1 ( x ) . Acta Math. Sin. (N.S.) 12(3), 254\u2013261 (1996)","journal-title":"Acta Math. Sin. (N.S.)"},{"key":"561_CR13","doi-asserted-by":"crossref","unstructured":"Futamura, T., Harjulehto, P., H\u00e4st\u00f6, P., Mizuta, Y., Shimomura, T.: Variable exponent spaces on metric measure spaces. In: More Progresses in Analysis, Proceedings of ISAAC-5, Catania, 2005, vol. 126, pp. 107\u2013121. World Scientific (2009)","DOI":"10.1142\/9789812835635_0010"},{"issue":"2","key":"561_CR14","first-page":"495","volume":"31","author":"T. Futamura","year":"2006","unstructured":"Futamura T., Mizuta Y., Shimomura T.: Sobolev embeddings for variable exponent Riesz potentials on metric spaces. Ann. Acad. Sci. Fenn. Math. 31(2), 495\u2013522 (2006)","journal-title":"Ann. Acad. Sci. Fenn. Math."},{"key":"561_CR15","doi-asserted-by":"crossref","unstructured":"Giaquinta, M.: Multiple Integrals in the Calculus of Variations and Non-linear Elliptic Systems. Princeton University Press, Princeton (1983)","DOI":"10.1515\/9781400881628"},{"key":"561_CR16","doi-asserted-by":"crossref","first-page":"285","DOI":"10.7146\/math.scand.a-15156","volume":"107","author":"V.S. Guliyev","year":"2010","unstructured":"Guliyev V.S., Hasanov J., Samko S.: Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces. Math. Scand. 107, 285\u2013304 (2010)","journal-title":"Math. Scand."},{"issue":"2","key":"561_CR17","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1007\/s10958-013-1449-8","volume":"193","author":"V.S. Guliyev","year":"2013","unstructured":"Guliyev V.S., Samko S.: Maximal, potential and singular operators in the generalized variable exponent Morrey spaces on unbounded sets. J. Math. Sci. 193(2), 228\u2013248 (2013)","journal-title":"J. Math. Sci."},{"key":"561_CR18","unstructured":"Guliyev, V.S.: Integral operators on function spaces on homogeneous groups and on domains in R n (in Russian). Ph.D. thesis, Doctor\u2019s degree, Moscow, Steklov Math. Inst. (1994)"},{"key":"561_CR19","unstructured":"Guliyev, V.S.: Function spaces, integral operators and two weighted inequalities on homogeneous groups. Some applications (in Russian). Casioglu, Baku (1999)"},{"issue":"1","key":"561_CR20","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1002\/mana.200710204","volume":"284","author":"M. Hajibayov","year":"2011","unstructured":"Hajibayov M., Samko S.: Generalized potentials in variable exponent Lebesgue spaces on homogeneous spaces. Math. Nachr. 284(1), 53\u201366 (2011)","journal-title":"Math. Nachr."},{"issue":"1","key":"561_CR21","doi-asserted-by":"crossref","first-page":"87","DOI":"10.14321\/realanalexch.30.1.0087","volume":"30","author":"P. Harjulehto","year":"2004","unstructured":"Harjulehto P., H\u00e4st\u00f6 P., Pere M.: Variable exponent Lebesgue spaces on metric spaces: the Hardy\u2013Littlewood maximal operator. Real Anal. Exch. 30(1), 87\u2013103 (2004)","journal-title":"Real Anal. Exch."},{"issue":"3","key":"561_CR22","doi-asserted-by":"crossref","first-page":"591","DOI":"10.1007\/s00209-006-0960-8","volume":"254","author":"P. Harjulehto","year":"2006","unstructured":"Harjulehto P., H\u00e4st\u00f6 P., Latvala V.: Sobolev embeddings in metric measure spaces with variable dimension. Math. Z. 254(3), 591\u2013609 (2006)","journal-title":"Math. Z."},{"key":"561_CR23","doi-asserted-by":"crossref","unstructured":"Heinonen, J.: Lectures on analysis on metric spaces. In: Universitext. Springer, New York (2001)","DOI":"10.1007\/978-1-4613-0131-8"},{"key":"561_CR24","first-page":"17","volume":"138","author":"M. Khabazi","year":"2005","unstructured":"Khabazi M.: The maximal operator in spaces of homogenous type. Proc. A. Razmadze Math. Inst. 138, 17\u201325 (2005)","journal-title":"Proc. A. Razmadze Math. Inst."},{"issue":"1","key":"561_CR25","first-page":"18","volume":"1","author":"V. Kokilashvili","year":"2008","unstructured":"Kokilashvili V., Meskhi A.: Boundedness of maximal and singular operators in Morrey spaces with variable exponent. Armen. J. Math. 1(1), 18\u201328 (2008)","journal-title":"Armen. J. Math."},{"issue":"8\u201310","key":"561_CR26","doi-asserted-by":"crossref","first-page":"923","DOI":"10.1080\/17476930903276068","volume":"55","author":"V. Kokilashvili","year":"2010","unstructured":"Kokilashvili V., Meskhi A.: Maximal functions and potentials in variable exponent Morrey spaces with non-doubling measure. Complex Var. Elliptic Equ. 55(8\u201310), 923\u2013936 (2010)","journal-title":"Complex Var. Elliptic Equ."},{"issue":"4","key":"561_CR27","doi-asserted-by":"crossref","first-page":"683","DOI":"10.1515\/GMJ.2008.683","volume":"15","author":"V. Kokilashvili","year":"2008","unstructured":"Kokilashvili V., Samko N., Samko S.: The maximal operator in weighted variable Lebesgue spaces on metric spaces. Georgian Math. J. 15(4), 683\u2013712 (2008)","journal-title":"Georgian Math. J."},{"key":"561_CR28","unstructured":"Kufner, A., John, O., Fu\u010dik, S.: Function spaces, pp. 454 + XV. Noordhoff International Publishing, Prague (1977)"},{"key":"561_CR29","doi-asserted-by":"crossref","unstructured":"Mizuhara, T.: Boundedness of some classical operators on generalized Morrey spaces. In: Igari, S. (ed) Harmonic Analysis, pp. 183\u2013189. Springer, Berlin (1991). (ICM 90 Satellite Proceedings)","DOI":"10.1007\/978-4-431-68168-7_16"},{"key":"561_CR30","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1002\/mana.19941660108","volume":"166","author":"E. Nakai","year":"1994","unstructured":"Nakai E.: Hardy\u2013Littlewood maximal operator, singular integral operators and the Riesz potentials on generalized Morrey spaces. Math. Nachr. 166, 95\u2013103 (1994)","journal-title":"Math. Nachr."},{"issue":"3","key":"561_CR31","doi-asserted-by":"crossref","first-page":"363","DOI":"10.32917\/hmj\/1233152775","volume":"38","author":"T. Ohno","year":"2008","unstructured":"Ohno T.: Continuity properties for logarithmic potentials of functions in Morrey spaces of variable exponent. Hiroshima Math. J. 38(3), 363\u2013383 (2008)","journal-title":"Hiroshima Math. J."},{"key":"561_CR32","doi-asserted-by":"crossref","unstructured":"Rafeiro, H., Samko, N., Samko, S.: Morrey\u2013Campanato spaces: an overview. In: Karlovich, Y.I., Rodino, L., Silbermann, B., Spitkovsky, I.M. (eds.) Operator Theory, Pseudo-differential Equations, and Mathematical Physics The Vladimir Rabinovich Anniversary Volume, Operator Theory: Advances and Applications, vol. 228, pp. 293\u2013323. Springer, Birkh\u00e4user (2013)","DOI":"10.1007\/978-3-0348-0537-7_15"},{"issue":"1","key":"561_CR33","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1007\/s10958-010-0189-2","volume":"172","author":"H. Rafeiro","year":"2011","unstructured":"Rafeiro H., Samko S.: Variable exponent Campanato spaces. J. Math. Sci. (N. Y.) 172(1), 143\u2013164 (2011) Problems in mathematical analysis. No. 51","journal-title":"J. Math. Sci. (N. Y.)"},{"key":"561_CR34","unstructured":"Taylor, M.E.: Tools for PDE, volume 81 of Mathematical Surveys and Monographs. American Mathematical Society, Providence (2000). Pseudodifferential operators, paradifferential operators, and layer potentials"}],"container-title":["Mediterranean Journal of Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00009-015-0561-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00009-015-0561-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00009-015-0561-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,5]],"date-time":"2022-05-05T03:13:39Z","timestamp":1651720419000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00009-015-0561-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,4,16]]},"references-count":34,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2016,6]]}},"alternative-id":["561"],"URL":"https:\/\/doi.org\/10.1007\/s00009-015-0561-z","relation":{},"ISSN":["1660-5446","1660-5454"],"issn-type":[{"value":"1660-5446","type":"print"},{"value":"1660-5454","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,4,16]]}}}