Boundedness of positive operators on weighted amalgams

In this article, we characterize the pairs ( u , v ) of positive measurable functions such that T maps the weighted amalgam in ( L p ( u ), ℓ q ) for all , where T belongs to a class of positive operators which includes Hardy operators, maximal operators, and fractional integrals. 2000 Mathematics S...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2011; no. 1; pp. 1 - 12
Main Authors Aguilar Cañestro, María Isabel, Ortega Salvador, Pedro
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 21.06.2011
Springer Nature B.V
BioMed Central Ltd
SpringerOpen
Subjects
Amalgams
Analysis
Applications of Mathematics
Classification
Functions (mathematics)
Inequalities
Integrals
Mathematical analysis
Mathematics
Mathematics and Statistics
Maximal operators
Operators
Weighted inequalities
Weights
Weighted inequalities
Weights
Amalgams
Maximal operators
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Summary:In this article, we characterize the pairs ( u , v ) of positive measurable functions such that T maps the weighted amalgam in ( L p ( u ), ℓ q ) for all , where T belongs to a class of positive operators which includes Hardy operators, maximal operators, and fractional integrals. 2000 Mathematics Subject Classification 26D10, 26D15 (42B35)
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2011-13