Covariant derivatives of the Berezin transform

0373160 - MÚ 2012 RIV US eng J - Článek v odborném periodiku
Engliš, Miroslav - Otáhalová, R.
Covariant derivatives of the Berezin transform.
American Mathematical Society. Transactions. Roč. 363, č. 10 (2011), s. 5111-5129. ISSN 0002-9947. E-ISSN 1088-6850
Grant CEP: GA AV ČR IAA100190802
Klíčová slova: Berezin transform * Berezin symbol * covariant derivative
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.093, rok: 2011
http://www.ams.org/journals/tran/2011-363-10/S0002-9947-2011-05111-1/home.html

Improving upon recent results of Coburn, Xia, Li, Englis and Zhang, Bommier-Hato, and others, we give estimates for higher-order covariant derivatives of the Berezin transform of bounded linear operators on a reproducing kernel Hilbert space of holomorphic functions. The answer turns out to involve the curvature of the Bergman-type metric associated to the reproducing kernel.
Trvalý link: http://hdl.handle.net/11104/0206313