Decomposition and Moser's lemma.

Edmunds, David E., and Krbec, Miroslav. "Decomposition and Moser's lemma.." Revista Matemática Complutense 15.1 (2002): 57-74. <http://eudml.org/doc/44425>.

@article{Edmunds2002,
abstract = {Using the idea of the optimal decomposition developed in recent papers (Edmunds-Krbec, 2000) and in Cruz-Uribe-Krbec we study the boundedness of the operator Tg(x) = ∫x1 g(u)du / u, x ∈ (0,1), and its logarithmic variant between Lorentz spaces and exponential Orlicz and Lorentz-Orlicz spaces. These operators are naturally linked with Moser's lemma, O'Neil's convolution inequality, and estimates for functions with prescribed rearrangement. We give sufficient conditions for and very simple proofs of uniform boundedness of exponential and double exponential integrals in the spirit of the celebrated lemma due to Moser.},
author = {Edmunds, David E., Krbec, Miroslav},
journal = {Revista Matemática Complutense},
keywords = {Espacio de Orlicz; Espacios de Lorentz; Espacios de Lebesgue; Operadores integrales; Acotación uniforme; function spaces; Lorentz spaces; Moser lemma},
language = {eng},
number = {1},
pages = {57-74},
title = {Decomposition and Moser's lemma.},
url = {http://eudml.org/doc/44425},
volume = {15},
year = {2002},
}

TY - JOUR
AU - Edmunds, David E.
AU - Krbec, Miroslav
TI - Decomposition and Moser's lemma.
JO - Revista Matemática Complutense
PY - 2002
VL - 15
IS - 1
SP - 57
EP - 74
AB - Using the idea of the optimal decomposition developed in recent papers (Edmunds-Krbec, 2000) and in Cruz-Uribe-Krbec we study the boundedness of the operator Tg(x) = ∫x1 g(u)du / u, x ∈ (0,1), and its logarithmic variant between Lorentz spaces and exponential Orlicz and Lorentz-Orlicz spaces. These operators are naturally linked with Moser's lemma, O'Neil's convolution inequality, and estimates for functions with prescribed rearrangement. We give sufficient conditions for and very simple proofs of uniform boundedness of exponential and double exponential integrals in the spirit of the celebrated lemma due to Moser.
LA - eng
KW - Espacio de Orlicz; Espacios de Lorentz; Espacios de Lebesgue; Operadores integrales; Acotación uniforme; function spaces; Lorentz spaces; Moser lemma
UR - http://eudml.org/doc/44425
ER -