Holomorphic Sobolev spaces on the ball

Frank Beatrous, and Jacob Burbea. Holomorphic Sobolev spaces on the ball. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1989. <http://eudml.org/doc/268395>.

@book{FrankBeatrous1989,
abstract = {CONTENTSIntroduction ..............................................................50. Preliminaries and notation....................................61. Hilbert spaces of holomorphic functions..............112. Some estimates ..................................................163. The space $L^p_q$............................................224. Norm estimates...................................................305. Sobolev norms....................................................356. Projections in Sobolev spaces............................47References.............................................................561980 Mathematics Subject Classification: Primary 32A35, 42B30, 32A10, 32H10, 46E35; Secondary 30D55, 26A16.},
author = {Frank Beatrous, Jacob Burbea},
keywords = {Hardy spaces; weighted Bergman spaces; Sobolev spaces; Bergman kernel; Szegö kernel; Poisson-Szegö kernel; reproducing kernel; Hardy-Littlewood type estimates; BMO estimates; weighted Sobolev spaces of holomorphic functions; comparison of various weighted Sobolev norms; radial derivative operator; fractional power; Lipschitz estimate; BMO and Hardy-Littlewood-type estimates; fractional powers of the Bergman and the Poisson-Szegö kernels},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Holomorphic Sobolev spaces on the ball},
url = {http://eudml.org/doc/268395},
year = {1989},
}

TY - BOOK
AU - Frank Beatrous
AU - Jacob Burbea
TI - Holomorphic Sobolev spaces on the ball
PY - 1989
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSIntroduction ..............................................................50. Preliminaries and notation....................................61. Hilbert spaces of holomorphic functions..............112. Some estimates ..................................................163. The space $L^p_q$............................................224. Norm estimates...................................................305. Sobolev norms....................................................356. Projections in Sobolev spaces............................47References.............................................................561980 Mathematics Subject Classification: Primary 32A35, 42B30, 32A10, 32H10, 46E35; Secondary 30D55, 26A16.
LA - eng
KW - Hardy spaces; weighted Bergman spaces; Sobolev spaces; Bergman kernel; Szegö kernel; Poisson-Szegö kernel; reproducing kernel; Hardy-Littlewood type estimates; BMO estimates; weighted Sobolev spaces of holomorphic functions; comparison of various weighted Sobolev norms; radial derivative operator; fractional power; Lipschitz estimate; BMO and Hardy-Littlewood-type estimates; fractional powers of the Bergman and the Poisson-Szegö kernels
UR - http://eudml.org/doc/268395
ER -