A CHARACTERIZATION OF MAXIMAL OPERATORS ASSOCIATED WITH RADIAL FOURIER MULTIPLIERS

作者:Kim Jongchon*
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145(3): 1077-1085.
DOI:10.1090/proc/13445

摘要

We give a simple necessary and sufficient condition for maximal operators associated with radial Fourier multipliers to be bounded on L-rad(p) and L-p for certain p greater than 2. The range of exponents obtained for the L-rad(p) characterization is optimal for the given condition. The L-p characterization is derived from an inequality of Heo, Nazarov, and Seeger regarding a characterization of radial Fourier multipliers.

  • 出版日期2017-3