EXTRAPOLATION AND WEIGHTED NORM INEQUALITIES IN THE VARIABLE LEBESGUE SPACES.

Autor: CRUZ-URIBE, DAVID, LI-AN DANIEL WANG
Předmět:
Zdroj: Transactions of the American Mathematical Society; Feb2017, Vol. 369 Issue 2, p1205-1235, 31p
Abstrakt: We extend the theory of Rubio de Francia extrapolation, including off-diagonal, limited range and A extrapolation, to the weighted variable Lebesgue spaces Lp(·)(w). As a consequence we are able to show that a number of different operators from harmonic analysis are bounded on these spaces. The proofs of our extrapolation results are developed in a way that outlines a general approach to proving extrapolation theorems on other Banach function spaces. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index