Two weight norm inequality for the fractional maximal operator and the fractional integral operator.

Rakotondratsimba, Yves. "Two weight norm inequality for the fractional maximal operator and the fractional integral operator.." Publicacions Matemàtiques 42.1 (1998): 81-101. <http://eudml.org/doc/41336>.

@article{Rakotondratsimba1998,
abstract = {New sufficient conditions on the weight functions u(.) and v(.) are given in order that the fractional maximal [resp. integral] operator Ms [resp. Is], 0 ≤ s &lt; n, [resp. 0 &lt; s &lt; n] sends the weighted Lebesgue space Lp(v(x)dx) into Lp(u(x)dx), 1 &lt; p &lt; ∞. As a consequence a characterization for this estimate is obtained whenever the weight functions are radial monotone.},
author = {Rakotondratsimba, Yves},
journal = {Publicacions Matemàtiques},
keywords = {Operadores maximales; Operadores integrales; Análisis de Fourier; Funciones de peso; fractional maximal operator; fractional integrals; two-weight inequalities},
language = {eng},
number = {1},
pages = {81-101},
title = {Two weight norm inequality for the fractional maximal operator and the fractional integral operator.},
url = {http://eudml.org/doc/41336},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Rakotondratsimba, Yves
TI - Two weight norm inequality for the fractional maximal operator and the fractional integral operator.
JO - Publicacions Matemàtiques
PY - 1998
VL - 42
IS - 1
SP - 81
EP - 101
AB - New sufficient conditions on the weight functions u(.) and v(.) are given in order that the fractional maximal [resp. integral] operator Ms [resp. Is], 0 ≤ s &lt; n, [resp. 0 &lt; s &lt; n] sends the weighted Lebesgue space Lp(v(x)dx) into Lp(u(x)dx), 1 &lt; p &lt; ∞. As a consequence a characterization for this estimate is obtained whenever the weight functions are radial monotone.
LA - eng
KW - Operadores maximales; Operadores integrales; Análisis de Fourier; Funciones de peso; fractional maximal operator; fractional integrals; two-weight inequalities
UR - http://eudml.org/doc/41336
ER -