Duals of holomorphic Besov spaces on the polydisks and diagonal mappings

DOI10.3103/S1068362310030027zbMath1302.32006MaRDI QIDQ470543

Anahit V. Harutyunyan, Wolfgang Lusky

Publication date: 12 November 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

polydiscprojectionweighted Besov spacesdiagonal mapping

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Duality theorems for analytic spaces (32C37)

Related Items (3)

Holomorphic Besov spaces Bp(ω) (0 < p < 1) on the polydisc ⋮ Holomorphic Besov spaces in the polydisc and bounded Toeplitz operators ⋮ Toeplitz operators on weighted Besov spaces of holomorphic functions on the polydisk

Cites Work

• Besov-type characterisations for the Bloch space
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