Pointwise bounds for integral type operators

The purpose of this paper is to study pointwise upper bounds for integral operators whenever some bound for the input function is known. Applications to the cases of Hardy, Riemann–Liouville or Volterra type operators and the Abel transform, among others, are given. The underlying techniques are clo...

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Bibliographic Details
Published inMathematische Nachrichten Vol. 289; no. 11-12; pp. 1386 - 1395
Main Authors Carro, María J., Domingo-Salazar, Carlos
Format Journal Article
LanguageEnglish
Published Weinheim Blackwell Publishing Ltd 01.08.2016
Wiley Subscription Services, Inc
Subjects
26A12
47A63
extrapolation theory
Integral operators
weak Lp-spaces
weights
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Summary:The purpose of this paper is to study pointwise upper bounds for integral operators whenever some bound for the input function is known. Applications to the cases of Hardy, Riemann–Liouville or Volterra type operators and the Abel transform, among others, are given. The underlying techniques are closely related to Yano's extrapolation theory.
Bibliography:ark:/67375/WNG-ZHTHZT9K-6
ArticleID:MANA201500107
istex:93B7529031E4DFD172BE67807B60D2FA875F69D0
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201500107