Generalized Hankel Operators On The Bergman Space Of The Unit Ball
- 1 March 2001
- journal article
- research article
- Published by Informa UK Limited in Complex Variables and Elliptic Equations
- Vol. 44 (1), 55-71
- https://doi.org/10.1080/17476930108815344
Abstract
In this paper, we introduce some operators on Bergman spaces LPa(B) that generalize a kind of generalized Hankel operator defined by M. M. Peloso. For such operators we prove boundedness, compactness and Schatten class property criteria. On the cut-off c(N) we know that the phenomenon founded by Peloso is an exceptional case.Keywords
This publication has 10 references indexed in Scilit:
- Generalized hankel operators on the bergman space on the unit ballComplex Variables and Elliptic Equations, 1997
- Besov spaces, mean oscillation, and generalized Hankel operatorsPacific Journal of Mathematics, 1993
- Membership of Hankel Operators on the Ball in Unitary IdealsJournal of the London Mathematical Society, 1991
- Schatten Class Hankel Operators on the Bergman Space of the Unit BallAmerican Journal of Mathematics, 1991
- Inequalities for the integral means of holomorphic functions and their derivatives in the unit ball of 𝐂ⁿTransactions of the American Mathematical Society, 1991
- Hankel operators between weighted Bergman spaces in the ballArkiv för Matematik, 1990
- Hilbert-Schmidt Hankel operators on the Bergman spaceProceedings of the American Mathematical Society, 1990
- Hankel Operators on Weighted Bergman SpacesAmerican Journal of Mathematics, 1988
- The Bergman space, the Bloch space, and commutators of multiplication operatorsDuke Mathematical Journal, 1986
- Function Theory in the Unit Ball of ℂnGrundlehren der mathematischen Wissenschaften, 1980