Extensions of weak type multipliers

Volume 158 / 2003

P. Mohanty, S. Madan Studia Mathematica 158 (2003), 1-10 MSC: 46E30, 42B15. DOI: 10.4064/sm158-1-1

Abstract

We prove that if ${\mit\Lambda }\in M_p({\mathbb R}^N)$ and has compact support then ${\mit\Lambda }$ is a weak summability kernel for $1< p< \infty $, where $ M_p({\mathbb R}^N)$ is the space of multipliers of $L^p({\mathbb R}^N)$.

Authors

  • P. MohantyIndian Institute of Technology
    Kanpur 208016, India
    e-mail
  • S. MadanIndian Institute of Technology
    Kanpur 208016, India
    e-mail

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