Continuous projections, duality, and the diagonal mapping in weighted spaces of holomorphic functions with mixed norm

DOI10.1007/BF02673745zbMath0960.32007MaRDI QIDQ1588952

F. A. Shamoyan, O. V. Yaroslavtseva

Publication date: 11 December 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

dualitymixed normdiagonal mappingcontinuous projectionsunit polydiskweighted spaces of holomorphic functions

Mathematics Subject Classification ID

Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (5)

Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Diagonal mapping in anisotropic spaces of analytic functions in polydisc with mixed norm ⋮ ON SOME SHARP THEOREMS ON DISTANCE FUNCTION IN HARDY TYPE, BERGMAN TYPE AND HERZ TYPE ANALYTIC CLASSES

Cites Work

• Diagonal mapping and problems of representation in anisotropic spaces of holomorphic functions in the polydisk
• The spaces \(L^ p\), with mixed norm
• The dual space of \(H^p\) of the polydisc for \(0<p<1\)
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