Pointwise multipliers and decomposition theorems in \(F^{\infty,q}_s\)
type: Item
instance of: scholarly article
title: Pointwise multipliers and decomposition theorems in \(F^{\infty,q}_s\)
zbMATH Open document ID: 1056.32004
author: Joan Fàbrega
author: J. M. Ortega
published in: Mathematische Annalen
publication date: 2004-12-02T00:00:00Z
review text: The authors give characterizations of the pointwise multipliers of the holomorphic Triebel-Lizorkin spaces \(F_s^{\infty,q}\) in terms of pointwise estimates and weighted Carleson measures. These characterizations are used to obtain some embeddings between pointwise multipliers of Triebel-Lizorkin spaces \(F_s^{p,q}\), and to solve a corona type problem for the spaces \(F_s^{\infty,q}\). The boundedness of a family of integral operators acting in non-isotropic tent spaces \(T^{\infty,q}\) is studied. In particular, these results permit one to obtain \(T^{\infty,q}\)-estimates of the solution of the \(\overline\partial\)-equation.
Mathematics Subject Classification ID: 32A37
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 2120954
zbMATH Keywords: pointwise multipliers of the holomorphic Triebel-Lizorkin spaces
zbMATH Keywords: non-isotropic tent spaces
zbMATH Keywords: pointwise estimates
zbMATH Keywords: weighted Carleson measure
zbMATH Keywords: \(\overline\partial\)-equation
zbMATH Keywords: integral operators in spaces of Carleson measures
reviewed by: Eleonora A. Storozhenko
MaRDI profile type: Publication
full work available at URL: s00208-003-0461-6
OpenAlex ID: W1963821189
DOI: 10.1007/S00208-003-0461-6
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description: scientific article; zbMATH DE number 2120954