Heat semi-group and function spaces on symmetric spaces of non-compact type

DOI10.4171/ZAA/735zbMath0868.46025OpenAlexW2007695400MaRDI QIDQ2365269

Leszek Skrzypczak

Publication date: 4 August 1997

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/735

zbMATH Keywords

atomic decompositionLaplace-Beltrami operatorheat semigroupatomsfunction spacesspherical Fourier transformsymmetric spaces of non-compact typeBesov-Triebel scalesgeneralized Riemann-Lebesgue lemma

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis on homogeneous spaces (43A85)

Related Items

The Triebel - Lizorkin Scale of Function Spaces for the Fourier - Helgason Transform ⋮ Radial subspaces of Besov and Lizorkin-Triebel classes: Extended Strauss lemma and compactness of embeddings ⋮ Heat and harmonic extensions for function spaces of Hardy-Sobolev-Besov type on symmetric spaces and Lie groups

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