Fractional integral operator on spaces of homogeneous type

DOI10.1007/s11766-004-0055-4zbMath1067.43005OpenAlexW2087107350MaRDI QIDQ1764391

Liya Jiang, Ming Xu

Publication date: 24 February 2005

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-004-0055-4

zbMATH Keywords

space of homogeneous typefractional integralTriebel-Lizorkin space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Harmonic analysis on homogeneous spaces (43A85) Integral operators (47G10)

Related Items (2)

Complete convergence for Sung's type weighted sums of END random variables ⋮ Complete convergence of the non-identically distributed pairwise NQD random sequences

Cites Work

• Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
• Lipschitz functions on spaces of homogeneous type
• Discrete Calderón-type reproducing formula
• Embedding theorem on spaces of homogeneous type
• On fractional differentiation and integration on spaces of homogeneous 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.)
• Plancherel-Pôlya type inequality on spaces of homogeneous type and its applications
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral

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