Embedding derivatives of \({\mathcal M}\)-harmonic functions into \(L^p\) spaces

DOI10.1216/rmjm/1181071679zbMath0928.31002OpenAlexW2042530358MaRDI QIDQ1293282

Miloš Arsenović

Publication date: 16 January 2000

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL29-1/CONT29-1/CONT29-1.html

zbMATH Keywords

maximal functionBorel measurebounded embedding\({\mathcal M}\)-harmonic Hardy space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Other generalizations (nonlinear potential theory, etc.) (31C45) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Absolutely summing Carleson embeddings on Hardy spaces ⋮ Area operators on Hardy spaces in the unit ball of \(\mathbb{C}^n\) ⋮ Embedding theorems and area operators on Bergman spaces with doubling measure ⋮ Volterra type integration operators from Bergman spaces to Hardy spaces ⋮ Volterra-type integration operators between weighted Bergman spaces and Hardy spaces ⋮ Integration operators between Hardy spaces on the unit ball of \(\mathbb{C}^n\) ⋮ Closures of holomorphic tent spaces in weighted Bloch spaces ⋮ Difference of composition-differentiation operators from Hardy spaces to weighted Bergman spaces via harmonic analysis ⋮ Closures of Hardy and Hardy-Sobolev spaces in the Bloch type space on the unit ball ⋮ Essential norms and Schatten(-Herz) classes of integration operators from Bergman spaces to Hardy spaces ⋮ A Toeplitz-type operator on Hardy spaces in the unit ball ⋮ Closure of Hardy spaces in the Bloch space

Cites Work

• The spaces \(L^ p\), with mixed norm
• Some new function spaces and their applications to harmonic analysis.
• Some results in \(H^ p\) theory for the Heisenberg group
• Embedding derivatives of \(\mathcal{M}\)-harmonic Hardy spaces \(\mathcal{H}^ P\) into Lebesgue spaces, \(0<p<2\)
• Forward and Reverse Carleson Inequalities for Functions in Bergman Spaces and Their Derivatives
• Embedding Derivatives of Hardy Spaces into Lebesgue Spaces
• On M-Harmonic Bloch Space
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