Generalized Volterra type integral operators on large Bergman spaces

DOI10.1016/j.bulsci.2022.103226OpenAlexW4313406761MaRDI QIDQ2683692

Hicham Arroussi, H. Gissy, Jani A. Virtanen

Publication date: 14 February 2023

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.12974

zbMATH Keywords

boundednesscompactnessembedding theoremsVolterra type integral operatorslarge Bergman spaces

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Bergman spaces and Fock spaces (30H20)

Cites Work

• Schatten-class generalized Volterra companion integral operators
• Integral operators, embedding theorems and a Littlewood-Paley formula on weighted Fock spaces
• Generalized Volterra companion operators on Fock spaces
• Embedding theorems and integration operators on Bergman spaces with rapidly decreasing weights
• Sampling and interpolation in large Bergman and Fock spaces
• Embedding theorems for spaces of analytic functions via Khinchine's inequality
• Interpolating and sampling sequences for entire functions
• Bergman spaces with exponential weights
• Hankel operators on the weighted Bergman spaces with exponential type weights
• Trace ideal criteria for Toeplitz and Hankel operators on the weighted Bergman spaces with exponential type weights
• Integral, differential and multiplication operators on generalized Fock spaces
• Hankel operators on large weighted Bergman spaces
• Compact composition operators on Besov spaces
• VOLTERRA COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES AND BLOCH TYPE SPACES
• Embedding theorems for weighted classes of harmonic and analytic functions
• Weighted composition operators on Bergman spaces Aωp$A^p_\omega$

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