Representation of continuous linear functionals in anisotropic weighted spaces of analytic functions in the polydisc with mixed norm

DOI10.1080/17476933.2012.755675zbMath1288.32010OpenAlexW2335555269MaRDI QIDQ5417843

Publication date: 22 May 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.755675

zbMATH Keywords

Cauchy transform polydisc spaces of holomorphic functions continuous linear functionals

Mathematics Subject Classification ID

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)

Related Items (7)

Multiple interpolation for Nevanlinna type spaces ⋮ Some properties of the zero set of a function from Privalov's class in a disk ⋮ Unnamed Item ⋮ On interpolation for the Privalov classes in a disk ⋮ Diagonal mapping in anisotropic spaces of analytic functions in polydisc with mixed norm ⋮ On Interpolation in the Class of Analytic Functions in the Unit Disk with the Nevanlinna Characteristic from Lp-spaces ⋮ Characterization of weighted mixed norm spaces of analytic functions defined in terms of conditions on Fourier coefficients

Cites Work

The spaces \(L^ p\), with mixed norm

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