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Endpoint bounds of square functions associated with Hankel multipliers

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Kim J.

Studia Mathematica

2015

tom 228

nr 2

123-151

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.

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1 Studia Mathematica

1 Kim J.

1 2015

Wyniki wyszukiwania

Endpoint bounds of square functions associated with Hankel multipliers