{\text {UMD}}$$-Extensions of Calderón–Zygmund Operators with Mild Kernel Regularity

{\text {UMD}}$$-Extensions of Calderón–Zygmund Operators with Mild Kernel Regularity

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

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Veröffentlicht in:The Journal of fourier analysis and applications 2022-08, Vol.28 (4), Article 64
Hauptverfasser: Airta, Emil, Martikainen, Henri, Vuorinen, Emil
Format: Artikel
Sprache:eng
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Zusammenfassung:Armed with new methods we revisit a result of Figiel concerning the $${\text {UMD}}$$ UMD -extensions of linear Calderón–Zygmund operators with mild kernel regularity and then extend our new proof to the multilinear setting improving recent $${\text {UMD}}$$ UMD -valued estimates of multilinear singular integrals.
ISSN:1069-5869
1531-5851
DOI:10.1007/s00041-022-09960-4