Singular integral operators on tent spaces over spaces of homogeneous type: Fefferman-Stein box maximal functions and pointwise Carleson type estimates

DOI10.1007/s00013-018-1235-4zbMath1435.42009OpenAlexW2886516882MaRDI QIDQ1626638

Y. Aharonov

Publication date: 21 November 2018

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-018-1235-4

zbMATH Keywords

tent spacessingular integral operatorsspaces of homogeneous typemaximal regularitypointwise estimatesoff-diagonal estimatesCarleson type functionalsFefferman-Stein box maximal functions

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) One-parameter semigroups and linear evolution equations (47D06) Integral operators (47G10) Harmonic analysis and PDEs (42B37)

Cites Work

• Unnamed Item
• Hardy spaces of differential forms on Riemannian manifolds
• Conical square function estimates in UMD Banach spaces and applications to \(H^{\infty}\)-functional calculi
• Some new function spaces and their applications to harmonic analysis.
• Interpolation and embeddings of weighted tent spaces
• Groupoid metrization theory. With applications to analysis on quasi-metric spaces and functional analysis
• Singular integral operators on tent spaces
• The maximal regularity operator on tent spaces
• Change of angle in tent spaces
• Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
• 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.)
• \(H^p\) spaces of several variables
• Remarks on Maximal Regularity
• Tent Spaces over Metric Measure Spaces under Doubling and Related Assumptions
• A Note on a Maximal Function of C. Fefferman and Stein
• An Application of the Fefferman-Stein Inequality to the Study of the Tent Spaces
• Weighted Admissibility and Wellposedness of Linear Systems in Banach Spaces