The Triebel - Lizorkin Scale of Function Spaces for the Fourier - Helgason Transform

DOI10.1002/mana.19981900113zbMath0913.46035OpenAlexW2053683411MaRDI QIDQ4383981

Leszek Skrzypczak

Publication date: 13 April 1998

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19981900113

zbMATH Keywords

atomic decompositionsfunction spacesFourier-Helgason transformsymmetric Riemannian manifoldsTriebel-Lizorkin scale

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

Heat semi-group and function spaces on symmetric spaces of non-compact type ⋮ Heat and harmonic extensions for function spaces of Hardy-Sobolev-Besov type on symmetric spaces and Lie groups

Cites Work

• Theory of function spaces
• Theory of function spaces II
• Heat semi-group and function spaces on symmetric spaces of non-compact type
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Some Equivalent Norms in Sobolev-Besov Spaces on Symmetric Riemannian Manifolds