Extrapolation of Weighted Norm Inequalities for Multivariable Operators and Applications

@inproceedings{Grafakos2003ExtrapolationOW,
  title={Extrapolation of Weighted Norm Inequalities for Multivariable Operators and Applications},
  author={Loukas Grafakos and JOS{\'E} MAR{\'I}A MARTELL},
  year={2003}
}
Two versions of Rubio de Francia’s extrapolation theorem for multivariable operators of functions are obtained. One version assumes an initial estimate with different weights in each space and implies boundedness on all products of Lebesgue spaces. Another version assumes an initial estimate with the same weight but yields boundedness on a product of Lebesgue spaces whose indices lie on a line. Applications are given in the context of multilinear Calderón-Zygmund operators. Vector-valued… CONTINUE READING
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