2026-04-17T22:58:21Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1941542025-12-05T09:55:58Zcom_2072_1057col_2072_478917col_2072_478920

Essential Norms and Schatten(-Herz) Classes of Integration Operators from Bergman Spaces to Hardy Spaces Chen, Jiale Pau, Jordi Wang, Mao Fa Operadors lineals Funcions de diverses variables complexes Espais analítics Funcions holomorfes Linear operators Functions of several complex variables Analytic spaces Holomorphic functions In this paper, we completely characterize the compactness of the Volterra type integration operators $J_b$ acting from weighted Bergman spaces $A_\alpha^p$ to Hardy spaces $H^q$ for all $0<p, q<\infty$. Furthermore, we give some estimates for the essential norms of $J_b: A_\alpha^p \rightarrow H^q$ in the case $0<p \leq q<\infty$. We finally describe the membership in the Schatten(-Herz) class of the Volterra type integration operators. 2023-02-24T18:04:43Z 2023-02-24T18:04:43Z 2021-04-11 2023-02-24T18:04:43Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 1422-6383 https://hdl.handle.net/2445/194154 720898 eng Versió postprint del document publicat a: https://doi.org/10.1007/s00025-021-01403-8 Results In Mathematics, 2021, vol. 76, num. 88 https://doi.org/10.1007/s00025-021-01403-8 (c) Birkhäuser Basel, 2021 info:eu-repo/semantics/openAccess application/pdf Springer Verlag Articles publicats en revistes (Matemàtiques i Informàtica)