Maximal functions associated with Fourier multipliers of Mikhlin-H"ormander type

preprint2004arXivOpen access

We show that maximal operators formed by dilations of Mikhlin-H"ormander multipliers are typically not bounded on $L^p(R^d)$ . We also give rather weak conditions in terms of the decay of such multipliers under which $L^p$ boundedness of the maximal operators holds.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Write a reviewWrite

No reviews yet.

Add a commentWrite

No comments yet.

Maximal functions associated with Fourier multipliers of Mikhlin-H"ormander type

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0