Almost Everywhere Convergence of Sequences of Multiplier Operators on Local Fields

Shijun Zheng, Weixing Zheng

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Let K n be the n -dimensional vector space over a local field K . Two maximal multiplier theorems on L p( K n) are proved for certain multiplier operator sequences associated with regularization and dilation respectively. Consequently the a. e. convergence of such multiplier operator sequences is obtained. This sharpens Taibleson’s main result and applies to several important singular integral operators on K n.
Original languageAmerican English
JournalScience in China Series A: Mathematics
Volume40
DOIs
StatePublished - Jan 1997

Keywords

  • Bochner-Riesz means
  • Calderón-Zygmund singular integrals
  • Local fields
  • Multiplier

DC Disciplines

  • Mathematics

Fingerprint

Dive into the research topics of 'Almost Everywhere Convergence of Sequences of Multiplier Operators on Local Fields'. Together they form a unique fingerprint.

Cite this