Two‐weight norm inequalities for fractional maximal functions and fractional integral operators on weighted Morrey spaces

descriptionPublicationkeyboard_double_arrow_right Article 03 Mar 2020 English Publisher:WileyJournal:Mathematische Nachrichten, volume 293, pages 970-982 (issn: 0025-584X, eissn: 1522-2616,

Copyright policy )

Authors: Pan, Junren; Sun, Wenchang;

doi: 10.1002/mana.201800493

Two‐weight norm inequalities for fractional maximal functions and fractional integral operators on weighted Morrey spaces

- Summary
- Subjects
- Metrics

Abstract

AbstractIn this paper, we consider weighted norm inequalities for fractional maximal operators and fractional integral operators. For suitable weights, we prove the two‐weight norm inequalities for both operators on weighted Morrey spaces.

Related Organizations

Nankai University
China (People's Republic of)

Keywords

weighted Morrey spaces, Maximal functions, Littlewood-Paley theory, Fractional derivatives and integrals, fractional integrals, fractional maximal operators, \(H^p\)-spaces

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	8
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%