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Pointwise bounds for integral type operators
Author(s) -
Carro María J.,
Domingo–Salazar Carlos
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500107
Subject(s) - mathematics , pointwise , extrapolation , type (biology) , riemann integral , daniell integral , upper and lower bounds , riemann–stieltjes integral , operator theory , microlocal analysis , fourier integral operator , pure mathematics , improper integral , mathematical analysis , integral equation , ecology , biology
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.