{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,24]],"date-time":"2025-04-24T07:45:28Z","timestamp":1745480728151},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2017,2,9]],"date-time":"2017-02-09T00:00:00Z","timestamp":1486598400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Complex Anal. Oper. Theory"],"published-print":{"date-parts":[[2017,6]]},"DOI":"10.1007\/s11785-017-0641-0","type":"journal-article","created":{"date-parts":[[2017,2,9]],"date-time":"2017-02-09T10:18:13Z","timestamp":1486635493000},"page":"1095-1112","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Spherical \n                $$\\Pi $$\n                \n                    \n                                    \n                        \u03a0\n                    \n                \n            -Type Operators in Clifford Analysis and Applications"],"prefix":"10.1007","volume":"11","author":[{"given":"Wanqing","family":"Cheng","sequence":"first","affiliation":[]},{"given":"John","family":"Ryan","sequence":"additional","affiliation":[]},{"given":"Uwe","family":"K\u00e4hler","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,2,9]]},"reference":[{"key":"641_CR1","doi-asserted-by":"crossref","first-page":"402","DOI":"10.4310\/MRL.1997.v4.n3.a9","volume":"4","author":"N Arcozzi","year":"1997","unstructured":"Arcozzi, N., Li, X.: Riesz transforms on sphere, Math. Res. Lett. 4, 402\u2013412 (1997)","journal-title":"Math. Res. Lett."},{"key":"641_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-8137-3","volume-title":"Harmonic Function Theory. Graduate Texts in Mathematics","author":"S Axler","year":"2001","unstructured":"Axler, S., Bourdon, P., Ramey, W.: Harmonic Function Theory. Graduate Texts in Mathematics, 2nd edn. Springer, New York (2001)","edition":"2"},{"key":"641_CR3","first-page":"114","volume":"10","author":"A Balinsky","year":"2007","unstructured":"Balinsky, A., Ryan, J.: Some sharp \n                        $$L^2$$\n                        \n                            \n                                            \n                                \n                                    L\n                                    2\n                                \n                            \n                        \n                     inequalities for Dirac type operators. SIGMA Symmetry Integr. Geom. Methods Appl. 10, 114 (2007)","journal-title":"SIGMA Symmetry Integr. Geom. Methods Appl."},{"issue":"2","key":"641_CR4","doi-asserted-by":"crossref","first-page":"1138","DOI":"10.1016\/j.jmaa.2015.09.038","volume":"434","author":"RA Blaya","year":"2016","unstructured":"Blaya, R.A., Reyes, J.B., Ad\u00e1n, A.G., K\u00e4hler, U.: On the \n                        $$\\Pi $$\n                        \n                            \n                                            \n                                \u03a0\n                            \n                        \n                    -operator in Clifford analysis. J. Math. Anal. Appl. 434(2), 1138\u20131159 (2016)","journal-title":"J. Math. Anal. Appl."},{"key":"641_CR5","first-page":"301","volume":"46","author":"F Brack","year":"2010","unstructured":"Brack, F., De Schepper, H., Sou\u010dek, V.: Fischer decompositions in Euclidean and Hermitean Clifford analysis. Arch. Math. BRNO Tomus 46, 301\u2013321 (2010)","journal-title":"Arch. Math. BRNO Tomus"},{"key":"641_CR6","first-page":"1324","volume":"1","author":"WK Clifford","year":"1878","unstructured":"Clifford, W.K.: Applications of Grassman\u2019s extensive algebra. Am. J. Math. 1, 1324\u20131327 (1878)","journal-title":"Am. J. Math."},{"issue":"3","key":"641_CR7","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1007\/s40315-013-0027-x","volume":"13","author":"CF Dunkl","year":"2013","unstructured":"Dunkl, C.F., Li, J., Ryan, J., Lancker, P.V.: Some Rarita\u2013Schwinger type operators. Comput. Mathods Funct. Theory 13(3), 397\u2013424 (2013)","journal-title":"Comput. Mathods Funct. Theory"},{"issue":"2","key":"641_CR8","doi-asserted-by":"crossref","first-page":"283","DOI":"10.4171\/ZAA\/700","volume":"15","author":"K G\u00fcrlebeck","year":"1996","unstructured":"G\u00fcrlebeck, K., K\u00e4hler, U.: On a spatial generalization of the complex \n                        $$\\Pi $$\n                        \n                            \n                                            \n                                \u03a0\n                            \n                        \n                    -operator. Zeitschrift fr Analysis und ihre Anwendungen 15(2), 283\u2013297 (1996)","journal-title":"Zeitschrift fr Analysis und ihre Anwendungen"},{"key":"641_CR9","first-page":"3","volume":"19","author":"U K\u00e4hler","year":"2000","unstructured":"K\u00e4hler, U.: On quaternionic Beltrami equations, Clifford algebras and their applications in mathematical physics. Ser. Prog. Phys. 19, 3\u201315 (2000)","journal-title":"Ser. Prog. Phys."},{"issue":"6","key":"641_CR10","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1007\/s00041-002-0026-1","volume":"8","author":"H Liu","year":"2002","unstructured":"Liu, H., Ryan, J.: Clifford analysis techniques for spherical PDE. J. Fourier Anal. Appl. 8(6), 535\u2013564 (2002)","journal-title":"J. Fourier Anal. Appl."},{"key":"641_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61631-0","volume-title":"Sigular Integral Operator","author":"SG Mikhlin","year":"1986","unstructured":"Mikhlin, S.G., Pr\u00f6ssdorf, S.: Sigular Integral Operator. Springer, NewYork (1986). edition"},{"issue":"2","key":"641_CR12","doi-asserted-by":"crossref","first-page":"427","DOI":"10.3836\/tjm\/1270215166","volume":"4","author":"F Sommen","year":"1981","unstructured":"Sommen, F.: Spherical monogenic functions and analytic functions on the unit sphere. Tokyo J. Math. 4(2), 427\u2013456 (1981)","journal-title":"Tokyo J. Math."}],"container-title":["Complex Analysis and Operator Theory"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11785-017-0641-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11785-017-0641-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11785-017-0641-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,5,26]],"date-time":"2017-05-26T02:35:12Z","timestamp":1495766112000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11785-017-0641-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,9]]},"references-count":12,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2017,6]]}},"alternative-id":["641"],"URL":"https:\/\/doi.org\/10.1007\/s11785-017-0641-0","relation":{},"ISSN":["1661-8254","1661-8262"],"issn-type":[{"value":"1661-8254","type":"print"},{"value":"1661-8262","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,2,9]]}}}