Closed-ranged restriction operators on weighted Bergman spaces

DOI10.2140/pjm.1984.110.145zbMath0477.32026OpenAlexW2047044845MaRDI QIDQ1160789

S. Singh

Publication date: 1984

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1984.110.145

zbMATH Keywords

Bergman spacesBergman kernel functionclosed-range restriction operators

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Integration on analytic sets and spaces, currents (32C30)

Related Items (20)

Reverse Carleson inequalities for weighted Bergman spaces with Békollé weights ⋮ Zero sequences, factorization and sampling measures for weighted Bergman spaces ⋮ Power bounded weighted composition operators and power bounded below composition operators ⋮ Sampling measure on Bergman spaces ⋮ Reverse Carleson measures on generalized Fock spaces ⋮ Dominating sets and reverse Carleson measures on exponentially weighted Bergman spaces ⋮ Invertibility of Fock Toeplitz operators with positive symbols ⋮ Dominating sets in Bergman spaces on strongly pseudoconvex domains ⋮ Sampling measure on doubling Fock spaces ⋮ Reverse Carleson measures on the weighted Bergman spaces with invariant weight ⋮ The restriction operator on Bergman spaces ⋮ Holomorphic function spaces on homogeneous Siegel domains ⋮ Hausdorff-Young inequalities for functions in Bergman spaces on tube domains ⋮ \(\mathcal{N}(p,q,s)\)-type spaces in the unit ball of \(\mathbb{C}^n\). IV: Atomic decomposition, Gleason's problem and distance problems ⋮ Carleson and reverse Carleson measures on homogeneous Siegel domains ⋮ A class of reverse Carleson measures on doubling Fock spaces ⋮ Unnamed Item ⋮ Equivalent norms on \(L^ p\) spaces of harmonic functions ⋮ On the closed range composition and weighted composition operators ⋮ Beurling type density theorems in the unit disk

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