Endpoint bounds of square functions associated with Hankel multipliers

• Autorzy: Jongchon Kim
• Języki publikacji: EN

Abstrakty

EN

We prove endpoint bounds for the square function associated with radial Fourier multipliers acting on $L^{p}$ radial functions. This is a consequence of endpoint bounds for a corresponding square function for Hankel multipliers. We obtain a sharp Marcinkiewicz-type multiplier theorem for multivariate Hankel multipliers and $L^{p}$ bounds of maximal operators generated by Hankel multipliers as corollaries. The proof is built on techniques developed by Garrigós and Seeger for characterizations of Hankel multipliers.

Kategorie tematyczne

• 42B15: Multipliers
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 228
• Numer: 2
• Strony: 123-151

Daty

wydano

2015

Twórcy

autor

Jongchon Kim

• Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706, U.S.A.

Identyfikatory

DOI

10.4064/sm228-2-3