The \(\overline{\partial}\)-problem for multipliers of the Sobolev space

DOI10.1007/s002290050098zbMath1049.30025OpenAlexW204460240MaRDI QIDQ1271530

Jie Xiao

Publication date: 1998

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050098

zbMATH Keywords

Sobolev spacemultipliersCarleson measureBlaschke productinterpolating sequencesDirichlet type space\(\overline{\partial}\)-problemthe corona problem

Mathematics Subject Classification ID

Related Items (13)

Cauchy-Riemann \(\bar{\partial}\)-equations with some applications ⋮ Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces ⋮ On multipliers of Dirichlet type spaces ⋮ Toeplitz operator for Dirichlet space through Sobolev multiplier algebra ⋮ Essentially hyponormal multiplication operators on the Dirichlet space ⋮ Riemann--Stieltjes operators between vector-valued weighted Bloch spaces ⋮ The corona problem for kernel multiplier algebras ⋮ An interpolation theorem for Hilbert spaces with Nevanlinna-Pick kernel ⋮ \({\mathcal Q}_p\) spaces in strictly pseudoconvex domains ⋮ Wolff's ideal theorem on \(Q_p\) spaces ⋮ Analytic \(Q_{\log,p}\) spaces ⋮ Corona theorem for the Dirichlet-type space ⋮ Interpolating sequences for Besov spaces

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