Multipliers in Hardy-Sobolev spaces

DOI10.1007/s00020-005-1403-3zbMath1100.32002OpenAlexW2012504050MaRDI QIDQ2501059

Joan Fàbrega, Joaquin M. Ortega Aramburu

Publication date: 4 September 2006

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-005-1403-3

zbMATH Keywords

tent spacespointwise multiplierscorona problemHardy-Sobolev spaces

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (16)

A remark on the multipliers on spaces of weak products of functions ⋮ Spectral theory of multiplication operators on Hardy-Sobolev spaces ⋮ Unified approach to spectral properties of multipliers ⋮ Fredholm composition operators on Hardy-Sobolev spaces with bounded reproducing kernel ⋮ Wandering subspaces and quasi-wandering subspaces in the Hardy-Sobolev spaces ⋮ The commutant of some shift operators ⋮ Cyclicity in the Drury-Arveson space and other weighted Besov spaces ⋮ Multipliers in holomorphic mean Lipschitz spaces on the unit ball ⋮ Division of holomorphic functions and growth conditions ⋮ Hardy-Sobolev spaces and their multipliers ⋮ Fredholmness of multipliers on Hardy-Sobolev spaces ⋮ Molecular decomposition and Fourier multipliers for holomorphic Besov and Triebel-Lizorkin spaces ⋮ Fractional derivatives of pointwise multipliers between holomorphic spaces ⋮ Families of fractional Cauchy transforms in the ball ⋮ Holomorphic potentials and multipliers for Hardy-Sobolev spaces ⋮ Free outer functions in complete Pick spaces

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