Maximal functions of multipliers on compact manifolds without boundary

Woocheol  Choi

doi:10.3934/cpaa.2015.14.1885

Article Contents

2015, Volume 14, Issue 5: 1885-1902. Doi: 10.3934/cpaa.2015.14.1885

This issue Previous Article Global well-posedness for the 3-D incompressible MHD equations in the critical Besov spaces Next Article Low regularity well-posedness for Gross-Neveu equations

Maximal functions of multipliers on compact manifolds without boundary

Woocheol Choi^1,

1.
Korea Institute for Advanced Study School of Mathematics, Hoegiro 85, Dongdaemun-gu, Seoul 130-722

Received: October 2014

Revised: March 2015

Published: September 2015

Abstract / Introduction Related Papers Cited by

Abstract

Let $P$ be a self-adjoint positive elliptic (-pseudo) differential operator on a smooth compact manifold $M$ without boundary. In this paper, we obtain a refined $L^p$ bound of the maximal function of the multiplier operators associated to $P$ satisfying the Hörmander-Mikhlin condition.

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Mathematics Subject Classification: Primary: 58J40, 42B15.

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