A Cotlar Type Maximal Function Associated With Fourier Multipliers

2019/11/10 by Srivastava, Rajula
#42B15 #42B20 #42B25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.03838

Abstract

We prove the L^p boundedness of a maximal operator associated with a dyadic frequency decomposition of a Fourier multiplier, under a weak regularity assumption.

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• Maximal operators associated with Fourier multipliers and applications
• L_p→ L_q boundedness of Fourier multipliers
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• Weak (1,1) bounded operators
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