{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T16:58:21Z","timestamp":1775494701413,"version":"3.50.1"},"reference-count":38,"publisher":"Allerton Press","issue":"2","license":[{"start":{"date-parts":[[2008,6,1]],"date-time":"2008-06-01T00:00:00Z","timestamp":1212278400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2008,6,1]],"date-time":"2008-06-01T00:00:00Z","timestamp":1212278400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Vestnik St.Petersb. Univ.Math."],"published-print":{"date-parts":[[2008,6]]},"DOI":"10.3103\/s1063454108020076","type":"journal-article","created":{"date-parts":[[2008,7,10]],"date-time":"2008-07-10T13:41:24Z","timestamp":1215697284000},"page":"134-144","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Singular operators and Fourier multipliers in weighted Lebesgue spaces with variable index"],"prefix":"10.3103","volume":"41","author":[{"given":"V. M.","family":"Kokilashvili","sequence":"first","affiliation":[]},{"given":"S. G.","family":"Samko","sequence":"additional","affiliation":[]}],"member":"1627","published-online":{"date-parts":[[2008,7,11]]},"reference":[{"key":"2007_CR1","first-page":"483","volume":"5","author":"N. K. Bari","year":"1956","unstructured":"N. K. Bari and S. B. Stechkin, Tr. Mosk. Mat. O-va 5, 483\u2013522 (1956).","journal-title":"Tr. Mosk. Mat. O-va"},{"issue":"1","key":"2007_CR2","first-page":"42","volume":"239","author":"V. M. Kokilashvili","year":"1978","unstructured":"V. M. Kokilashvili, Dokl. Akad. Nauk SSSR 239(1), 42\u201345 (1978).","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"2007_CR3","first-page":"110","volume":"65","author":"V. M. Kokilashvili","year":"1980","unstructured":"V. M. Kokilashvili, Tr. Tbil. Mat. Inst. im. A. Razmadze, Akad. Nauk Gruz. SSR 65, 110\u2013121 (1980).","journal-title":"Tr. Tbil. Mat. Inst. im. A. Razmadze, Akad. Nauk Gruz. SSR"},{"key":"2007_CR4","first-page":"125","volume":"161","author":"V. M. Kokilashvili","year":"1983","unstructured":"V. M. Kokilashvili, Tr. Mat. Inst. im. V.A. Steklova, Akad. Nauk SSSR 161, 125\u2013149 (1983).","journal-title":"Tr. Mat. Inst. im. V.A. Steklova, Akad. Nauk SSSR"},{"key":"2007_CR5","first-page":"701","volume":"109","author":"S. G. Mikhlin","year":"1956","unstructured":"S. G. Mikhlin, Dokl. Akad. Nauk. SSSR 109, 701\u2013703 (1956).","journal-title":"Dokl. Akad. Nauk. SSSR"},{"key":"2007_CR6","unstructured":"S. G. Mikhlin, Vestn. Leningrad. Univ., Ser. Mat. Mekh. Astron., No. 11, 3\u201324 (1956)."},{"key":"2007_CR7","volume-title":"Multidimensional Singular Integrals and Integral Equations","author":"S. G. Mikhlin","year":"1962","unstructured":"S. G. Mikhlin, Multidimensional Singular Integrals and Integral Equations (Fizmatgiz, Moscow, 1962; Pergamon, Oxford, 1965)."},{"issue":"1","key":"2007_CR8","doi-asserted-by":"crossref","first-page":"19","DOI":"10.4064\/sm-69-1-19-31","volume":"69","author":"K. F. Andersen","year":"1980","unstructured":"K. F. Andersen and R. T. John, Studia Math. 69(1), 19\u201331 (1980\/1981).","journal-title":"Studia Math"},{"key":"2007_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-0348-8922-3","volume-title":"Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators","author":"A. Bottcher","year":"1997","unstructured":"A. Bottcher and Yu. Karlovich, Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators (Birkh\u00e4user, Basel, 1997)."},{"issue":"3","key":"2007_CR10","doi-asserted-by":"crossref","first-page":"297","DOI":"10.4064\/sm-57-3-297-306","volume":"57","author":"A.-P. Calderon","year":"1976","unstructured":"A.-P. Calderon, Studia Math. 57(3), 297\u2013306 (1976).","journal-title":"Studia Math"},{"issue":"1","key":"2007_CR11","doi-asserted-by":"crossref","first-page":"97","DOI":"10.4064\/sm-57-1-97-101","volume":"57","author":"A. Cordoba","year":"1976","unstructured":"A. Cordoba and C. Fefferman, Studia Math. 57(1), 97\u2013101 (1976).","journal-title":"Studia Math"},{"issue":"1","key":"2007_CR12","first-page":"239","volume":"31","author":"D. Cruz-Uribe","year":"2006","unstructured":"D. Cruz-Uribe, A. Fiorenza, J. M. Martell, and C. Perez, Ann. Acad. Sci. Fenn. Math. 31(1), 239\u2013264 (2006).","journal-title":"Ann. Acad. Sci. Fenn. Math."},{"issue":"2","key":"2007_CR13","doi-asserted-by":"publisher","first-page":"412","DOI":"10.1016\/j.jfa.2003.09.002","volume":"213","author":"D. Cruz-Uribe","year":"2004","unstructured":"D. Cruz-Uribe, J. M. Martell, and C. Perez, J. Funct. Anal. 213(2), 412\u2013439 (2004).","journal-title":"J. Funct. Anal."},{"issue":"2","key":"2007_CR14","first-page":"245","volume":"7","author":"L. Diening","year":"2004","unstructured":"L. Diening, Math. Inequal. Appl. 7(2), 245\u2013253 (2004).","journal-title":"Math. Inequal. Appl."},{"key":"2007_CR15","volume-title":"Proceedings of the Conference \u201cFunction Spaces, Differential Operators and Nonlinear Analysis,\u201d Milovy, Czech Republic, 2004","author":"L. Diening","year":"2004","unstructured":"L. Diening, P. Hasto, and A. Nekvinda, in Proceedings of the Conference \u201cFunction Spaces, Differential Operators and Nonlinear Analysis,\u201d Milovy, Czech Republic, 2004 (Math. Inst. Acad. Sci. Czech Rep., Prague, 2004)."},{"key":"2007_CR16","first-page":"197","volume":"563","author":"L. Diening","year":"2003","unstructured":"L. Diening and M. Ru\u017ei\u010dka, J. Reine Angew. Math. 563, 197\u2013220 (2003).","journal-title":"J. Reine Angew. Math."},{"issue":"3\u20134","key":"2007_CR17","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1007\/BF02392215","volume":"129","author":"C. Gefferman","year":"1972","unstructured":"C. Gefferman and E. M. Stein, Acta Math. 129(3\u20134), 137\u2013193 (1972).","journal-title":"Acta Math"},{"key":"2007_CR18","doi-asserted-by":"publisher","first-page":"274","DOI":"10.1090\/S0002-9904-1974-13458-0","volume":"80","author":"R. A. Hunt","year":"1974","unstructured":"R. A. Hunt and W. S. Young, Bull. Am. Math. Soc. 80, 274\u2013277 (1974).","journal-title":"Bull. Am. Math. Soc."},{"key":"2007_CR19","unstructured":"N. K. Karapetiants and N. G. Samko, Fract. Calc. Appl. Anal. 7(4) (2004)."},{"issue":"1","key":"2007_CR20","doi-asserted-by":"crossref","first-page":"111","DOI":"10.5565\/PUBLMAT_49105_05","volume":"49","author":"A. Yu. Karlovich","year":"2005","unstructured":"A. Yu. Karlovich and A. K. Lerner, Publ. Math. 49(1), 111\u2013125 (2005).","journal-title":"Publ. Math."},{"key":"2007_CR21","first-page":"143","volume":"135","author":"M. Khabazi","year":"2004","unstructured":"M. Khabazi, Proc. A. Razmadze Math. Inst. 135, 143\u2013144 (2004).","journal-title":"Proc. A. Razmadze Math. Inst."},{"key":"2007_CR22","first-page":"195","volume":"14","author":"G. Khuskivadze","year":"1998","unstructured":"G. Khuskivadze, V. Kokilashvili, and V. Paatashvili, Mem. Differ. Equations. Math. Phys. 14, 195 (1998).","journal-title":"Mem. Differ. Equations. Math. Phys."},{"key":"2007_CR23","volume-title":"Proceedings of the Conference \u201cFunction Spaces, Differential Operators, and Nonlinear Analysis,\u201d Milovy, Czech Republic, 2004","author":"V. Kokilashvili","year":"2004","unstructured":"V. Kokilashvili, in Proceedings of the Conference \u201cFunction Spaces, Differential Operators, and Nonlinear Analysis,\u201d Milovy, Czech Republic, 2004 (Math. Inst. Acad. Sci. Czech Rep., Prague, 2004)."},{"key":"2007_CR24","first-page":"167","volume-title":"Operator Theory: Advances and Applications","author":"V. Kokilashvili","year":"2006","unstructured":"V. Kokilashvili, V. Paatashvili, and S. Samko, in Operator Theory: Advances and Applications (Birkh\u00e4user, Basel, 2006), pp. 167\u2013186."},{"key":"2007_CR25","unstructured":"V. Kokilashvili, N. Samko, and S. Samko, J. Function Spaces Appl., in press."},{"issue":"1","key":"2007_CR26","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1515\/GMJ.2006.109","volume":"13","author":"V. Kokilashvili","year":"2006","unstructured":"V. Kokilashvili, N. Samko, and S. Samko, Georgian. Math. J. 13(1), 109\u2013125 (2006).","journal-title":"Georgian. Math. J."},{"issue":"116","key":"2007_CR27","doi-asserted-by":"crossref","first-page":"592","DOI":"10.21136\/CMJ.1991.102493","volume":"41","author":"O. Kov\u00e1\u010dik","year":"1991","unstructured":"O. Kov\u00e1\u010dik and J. R\u00e1kosn\u012dk, Czechoslovak Math. J. 41(116), 592\u2013618 (1991).","journal-title":"Czechoslovak Math. J."},{"issue":"1","key":"2007_CR28","doi-asserted-by":"publisher","first-page":"235","DOI":"10.2307\/1998156","volume":"259","author":"D. S. Kurtz","year":"1980","unstructured":"D. S. Kurtz, Trans. Am. Math. Soc. 259(1), 235\u2013254 (1980).","journal-title":"Trans. Am. Math. Soc."},{"key":"2007_CR29","first-page":"231","volume":"89","author":"P. I. Lizorkin","year":"1967","unstructured":"P. I. Lizorkin, Tr. Mat. Inst. im. V.A. Steklova, Akad. Nauk SSSR 89, 231\u2013248 (1967).","journal-title":"Tr. Mat. Inst. im. V.A. Steklova, Akad. Nauk SSSR"},{"key":"2007_CR30","first-page":"1","volume":"32","author":"R. Macias","year":"1981","unstructured":"R. Macias and C. Segovia, Trab. Mat. Inst. Argentina Math. 32, 1\u201318 (1981).","journal-title":"Trab. Mat. Inst. Argentina Math."},{"issue":"1","key":"2007_CR31","doi-asserted-by":"publisher","first-page":"91","DOI":"10.2307\/1998595","volume":"269","author":"N. Miller","year":"1982","unstructured":"N. Miller, Trans. Am. Math. Soc. 269(1), 91\u2013109 (1982).","journal-title":"Trans. Am. Math. Soc."},{"issue":"6","key":"2007_CR32","doi-asserted-by":"publisher","first-page":"743","DOI":"10.1007\/BF02648265","volume":"3","author":"C. Perez","year":"1997","unstructured":"C. Perez, J. Fourier Anal. Appl. 3(6), 743\u2013756 (1997).","journal-title":"J. Fourier Anal. Appl."},{"key":"2007_CR33","unstructured":"V. S. Rabinovich and S. G. Samko, Rev. Mat. Iberoamericana, submitted."},{"issue":"3","key":"2007_CR34","doi-asserted-by":"publisher","first-page":"533","DOI":"10.2307\/2374284","volume":"106","author":"J. L. Rubio de Francia","year":"1984","unstructured":"J. L. Rubio de Francia, Am. J. Math. 106(3), 533\u2013547, (1984).","journal-title":"Am. J. Math."},{"key":"2007_CR35","first-page":"107","volume":"120","author":"N. G. Samko","year":"1999","unstructured":"N. G. Samko, Proc. A. Razmadze Math. Inst. 120, 107\u2013134 (1999).","journal-title":"Proc. A. Razmadze Math. Inst."},{"issue":"2","key":"2007_CR36","doi-asserted-by":"crossref","first-page":"727","DOI":"10.14321\/realanalexch.30.2.0727","volume":"30","author":"N. G. Samko","year":"2005","unstructured":"N. G. Samko, Real Anal. Exch. 30(2), 727\u2013745 (2005).","journal-title":"Real Anal. Exch."},{"key":"2007_CR37","unstructured":"S. G. Samko, in Proceedings of the International Conference \u201cOperator Theory and Complex and Hypercomplex Analysis,\u201d Mexico City, Mexico, 1994 (Mexico, 1994)."},{"issue":"5\u20136","key":"2007_CR38","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1080\/10652460412331320322","volume":"16","author":"S. G. Samko","year":"2005","unstructured":"S. G. Samko, Integral Transf. Special Functions 16(5\u20136), 461\u2013482 (2005).","journal-title":"Integral Transf. Special Functions"}],"container-title":["Vestnik St. Petersburg University: Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.3103\/S1063454108020076.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.3103\/S1063454108020076","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.3103\/S1063454108020076","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.3103\/S1063454108020076.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T15:23:02Z","timestamp":1775488982000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.3103\/S1063454108020076"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,6]]},"references-count":38,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2008,6]]}},"alternative-id":["2007"],"URL":"https:\/\/doi.org\/10.3103\/s1063454108020076","relation":{},"ISSN":["1063-4541","1934-7855"],"issn-type":[{"value":"1063-4541","type":"print"},{"value":"1934-7855","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,6]]},"assertion":[{"value":"11 November 2007","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 July 2008","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}