Boundedness of Convolution Operators on Hardy Spaces

Eduard Belinsky, Elijah Liflyand

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Establishing conditions for the boundedness of an operator taking Hp(Rn) into Lp(Rn) , with 0 < p≤ 1 , is a classical subject. A standard approach to such problems is using the atomic characterization of Hp(Rn) , 0 < p≤ 1 , and working with atoms. Unlike in certain earlier work on the subject we apply this machinery not to specific operators but to a wide general family of multivariate linear means generated by a multiplier. We illustrate the use of these new conditions applying them to some methods known from before.

Original languageEnglish
Pages (from-to)183-191
Number of pages9
JournalComputational Methods and Function Theory
Volume19
Issue number2
DOIs
StatePublished - 1 Jun 2019

Bibliographical note

Publisher Copyright:
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.

Keywords

  • Atomic decomposition
  • Fourier transform
  • Hardy space

Fingerprint

Dive into the research topics of 'Boundedness of Convolution Operators on Hardy Spaces'. Together they form a unique fingerprint.

Cite this