Compact Hankel operators on harmonic Bergman spaces

DOI10.1007/BF01378778zbMath0837.47021MaRDI QIDQ1907224

Mirjana Jovovic

Publication date: 20 February 1996

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

zbMATH Keywords

symbolorthogonal projectionHankel operators on the harmonic Bergman spacesemi-commutator of Toeplitz operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items

The rank of Hankel operators on harmonic Bergman spaces ⋮ Toeplitz operators on harmonic Bergman spaces ⋮ On \(C^\ast\)-algebras of Toeplitz operators on the harmonic Bergman space ⋮ Dual Toeplitz operators on the orthogonal complement of the harmonic Bergman space ⋮ Toeplitz operators on harmonic Bergman spaces ⋮ Compact Hankel operators on weighted harmonic Bergman spaces

Cites Work

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• The spaces \(L^ p\), with mixed norm
• On the Hausdorff-Young theorem for integral operators
• Schatten classes and commutators of singular integral operators
• Estimates in Sobolev norms $∥ ·∥^{s}_{p}$ for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions
• On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in $R^{n}$
• The Norm of the L p -Fourier Transform on Unimodular Groups

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