UMD-Extensions of Calderón–Zygmund Operators with Mild Kernel Regularity

Armed with new methods we revisit a result of Figiel concerning the UMD -extensions of linear Calderón–Zygmund operators with mild kernel regularity and then extend our new proof to the multilinear setting improving recent UMD -valued estimates of multilinear singular integrals.

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Bibliographische Detailangaben
Veröffentlicht in:	The Journal of fourier analysis and applications 2022, Vol.28 (4)
Hauptverfasser:	Airta, Emil, Martikainen, Henri, Vuorinen, Emil
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Approximations and Expansions Fourier Analysis Kernels Mathematical Methods in Physics Mathematics Mathematics and Statistics Operators Partial Differential Equations Regularity Signal,Image and Speech Processing
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Beschreibung
Zusammenfassung:	Armed with new methods we revisit a result of Figiel concerning the UMD -extensions of linear Calderón–Zygmund operators with mild kernel regularity and then extend our new proof to the multilinear setting improving recent UMD -valued estimates of multilinear singular integrals.
ISSN:	1069-5869 1531-5851
DOI:	10.1007/s00041-022-09960-4