A note on weighted Bergman spaces and the Cesaro Operator
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Publication:4519044
DOI10.1017/S0027763000007406zbMath0981.32001OpenAlexW1600655301MaRDI QIDQ4519044
George Benke, Der-Chen E. Chang
Publication date: 20 March 2001
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0027763000007406
Special families of functions of several complex variables (32A17) Bergman spaces of functions in several complex variables (32A36)
Related Items (17)
On a product-type operator between Hardy and \(\alpha\)-Bloch spaces of the upper half-plane ⋮ Extended Cesàro operators on Bergman spaces ⋮ Extended Cesáro operators from generally weighted Bloch spaces to Zygmund space ⋮ Note on norm of an \(m\)-linear integral-type operator between weighted-type spaces ⋮ Composition operators between \(H^\infty\) and \(a\)-Bloch spaces on the polydisc ⋮ Weighted integrals of holomorphic functions on the polydisc ⋮ Norm of a multilinear integral operator from product of weighted‐type spaces to weighted‐type space ⋮ Weighted iterated radial composition operators from logarithmic Bloch spaces to weighted‐type spaces on the unit ball ⋮ Products of Volterra type operator and composition operator from \(H^\infty \)and Bloch spaces to Zygmund spaces ⋮ Volterra-type operators on Zygmund spaces ⋮ Weighted composition operators from \(H^{\infty }\) to the Bloch space on the polydisc ⋮ On Ren-Kähler's paper ``Hardy-Littlewood inequalities and \(Q_p\)-spaces [Z. Anal. Anwendungen 24, 375--388 (2005; Zbl. 1096.30044)] ⋮ General properties for Volterra-type operators in the unit disk ⋮ Weighted integrals of holomorphic functions on the polydisc. II. ⋮ A theorem of Nehari type on weighted Bergman spaces of the unit ball ⋮ Addendum to the Paper “A note on Weighted bergman Spaces and the cesaro operator” ⋮ The generalized Libera transform on Hardy, Bergman and Bloch spaces on the unit polydisc
Cites Work
- Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
- A simplification and extension of Fefferman's theorem on biholomorphic mappings
- Estimates for the \(\bar \partial\)-Neumann problem in pseudoconvex domains of finite type in \(\mathbb{C}^ 2\)
- Some properties of fractional integrals. II
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- Sobolev and Lipschitz estimates for weighted Bergman projections
- Commutation properties and Lipschitz estimates for the Bergman and Szegö projections
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