{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,2]],"date-time":"2025-12-02T15:18:20Z","timestamp":1764688700450},"publisher-location":"Basel","reference-count":11,"publisher":"Birkh\u00e4user Basel","isbn-type":[{"type":"print","value":"9783764386832"},{"type":"electronic","value":"9783764386849"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-7643-8684-9_12","type":"book-chapter","created":{"date-parts":[[2008,5,27]],"date-time":"2008-05-27T01:38:22Z","timestamp":1211852302000},"page":"263-282","source":"Crossref","is-referenced-by-count":17,"title":["Poly-Bergman Projections and Orthogonal Decompositions of L 2-spaces Over Bounded Domains"],"prefix":"10.1007","author":[{"given":"Yuri I.","family":"Karlovich","sequence":"first","affiliation":[]},{"given":"Lu\u00eds V.","family":"Pessoa","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"12_CR1","volume-title":"Polyanalytic Functions","author":"M.B. Balk","year":"1991","unstructured":"M.B. Balk, Polyanalytic Functions. Akademie Verlag, Berlin, 1991."},{"key":"12_CR2","unstructured":"A. Dzhuraev, Methods of Singular Integral Equations. Longman Scientific & Technical, 1992."},{"key":"12_CR3","volume-title":"Theory of Bergman Spaces","author":"H. Hedelman","year":"2000","unstructured":"H. Hedelman, B. Korenblum, and K. Zhu, Theory of Bergman Spaces. Springer-Verlag, New York, 2000."},{"key":"12_CR4","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1007\/s00020-004-1341-5","volume":"52","author":"Yu.I. Karlovich","year":"2005","unstructured":"Yu.I. Karlovich and L. Pessoa, Algebras generated by Bergman and anti-Bergman projections and by multiplications by piecewise continuous coefficients. Integral Equations and Operator Theory 52 (2005), 219\u2013270.","journal-title":"Integral Equations and Operator Theory"},{"key":"12_CR5","doi-asserted-by":"publisher","first-page":"521","DOI":"10.1007\/s00020-006-1473-x","volume":"57","author":"Yu.I. Karlovich","year":"2007","unstructured":"Yu.I. Karlovich and L.V. Pessoa, C*-algebras of Bergman type operators with piecewise continuous coefficients. Integral Equations and Operator Theory 57 (2007), 521\u2013565.","journal-title":"Integral Equations and Operator Theory"},{"key":"12_CR6","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61631-0","volume-title":"Singular Integral Operators","author":"S.G. Mikhlin","year":"1986","unstructured":"S.G. Mikhlin and S. Pr\u00f6ssdorf, Singular Integral Operators. Springer-Verlag, Berlin, 1986."},{"issue":"1","key":"12_CR7","first-page":"57","volume":"102","author":"L. Peng","year":"1992","unstructured":"L. Peng, R. Rochberg, and Z. Wu, Orthogonal polynomials and middle Hankel operators on Bergman spaces. Studia Math. 102(1) (1992), 57\u201375.","journal-title":"Studia Math"},{"key":"12_CR8","first-page":"273","volume-title":"Factorization, Singular Operators and Related Problems, Proc. of the Conf. in Honour of Professor Georgii Litvinchuk","author":"J. Ram\u00edrez","year":"2003","unstructured":"J. Ram\u00edrez and I.M. Spitkovsky, On the algebra generated by a poly-Bergman projection and a composition operator. Factorization, Singular Operators and Related Problems, Proc. of the Conf. in Honour of Professor Georgii Litvinchuk (eds. S. Samko, A. Lebre, and A.F. dos Santos), Kluwer Academic Publishers, Dordrecht, 2003, 273\u2013289."},{"key":"12_CR9","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1090\/conm\/289\/04876","volume":"289","author":"N.L. Vasilevski","year":"2001","unstructured":"N.L. Vasilevski, Toeplitz operators on the Bergman spaces: Inside-the-domain effects. Contemporary Mathematics 289 (2001), 79\u2013146.","journal-title":"Contemporary Mathematics"},{"key":"12_CR10","unstructured":"N.L. Vasilevski, Poly-Bergman spaces and two-dimensional singular integral operators. In: The Extended Field of Operator Theory (ed. M.A. Dritschel), Operator Theory: Advances and Applications 171 (2006), 349\u2013359."},{"key":"12_CR11","volume-title":"Generalized Analytic Functions","author":"I.N. Vekua","year":"1962","unstructured":"I.N. Vekua, Generalized Analytic Functions. Pergamon Press, Oxford, 1962."}],"container-title":["Operator Theory: Advances and Applications","Operator Algebras, Operator Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-7643-8684-9_12.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,23]],"date-time":"2020-11-23T10:24:52Z","timestamp":1606127092000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-7643-8684-9_12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783764386832","9783764386849"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/978-3-7643-8684-9_12","relation":{},"subject":[]}}