Hpw - Lpw boundedness of marcinkiewicz integral

Chin Cheng Lin, Ying Chieh Lin

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The Marcinkiewicz integral is essentially a Littlewood-Paley g-function, which plays a very important role in harmonic analysis. In this paper we give weaker smoothness conditions assumed on Ω to imply the Hw p - Lwp boundedness of the Marcinkiewicz integral operator μΩ, where w belongs to the Muckenhoupt weight class.

Original languageEnglish
Pages (from-to)87-98
Number of pages12
JournalIntegral Equations and Operator Theory
Volume58
Issue number1
DOIs
StatePublished - May 2007

Keywords

  • A weights
  • Dini-type condition
  • Marcinkiewicz integral
  • Weighted Hardy spaces

Fingerprint

Dive into the research topics of 'Hpw - Lpw boundedness of marcinkiewicz integral'. Together they form a unique fingerprint.

Cite this