JOURNAL ARTICLE
SOME TOEPLITZ OPERATORS ON WEIGHTED BERGMAN SPACES
Year: 2011 Journal: Bulletin of the Korean Mathematical Society Vol: 48 (1)Pages: 141-149 Publisher: Korean Mathematical Society
Abstract
We consider the problem to determine when a Toeplitz operator is bounded on weighted Bergman spaces. We show that Toeplitz operators induced by elements of some set are bounded and each element of the set is related with a Carleson measure on the weighted Bergman space.
Keywords:
Toeplitz matrix Mathematics Bergman space Bounded function Toeplitz operator Bergman kernel Pure mathematics Operator (biology) Measure (data warehouse) Set (abstract data type) Space (punctuation) Element (criminal law) Discrete mathematics Mathematical analysis Computer science
Metrics
2
Cited By
0.43
FWCI (Field Weighted Citation Impact)
4
Refs
0.57
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Holomorphic and Operator Theory
Physical Sciences → Mathematics → Applied Mathematics
Advanced Harmonic Analysis Research
Physical Sciences → Mathematics → Applied Mathematics
Algebraic and Geometric Analysis
Physical Sciences → Mathematics → Applied Mathematics
Related Documents
JOURNAL ARTICLE
Toeplitz Operators on Weighted Bergman Spaces
Journal: Journal of Function Spaces and Applications Year: 2013 Vol: 2013 Pages: 1-5
JOURNAL ARTICLE
Toeplitz operators on weighted Bergman spaces
Journal: Integral Equations and Operator Theory Year: 1988 Vol: 11 (3)Pages: 310-331
JOURNAL ARTICLE
Hyponormal Toeplitz operators on weighted Bergman spaces
Journal: Integral Transforms and Special Functions Year: 2021 Vol: 32 (5-8)Pages: 560-567
JOURNAL ARTICLE
Toeplitz operators on weighted harmonic Bergman spaces
Journal: Banach Journal of Mathematical Analysis Year: 2017 Vol: 12 (4)Pages: 808-842
JOURNAL ARTICLE
TOEPLITZ AND HANKEL OPERATORS ON WEIGHTED BERGMAN SPACES
Journal: Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application Year: 2020 Vol: 12 (1-2)Pages: 99-116