The boundedness of the maximal operator in weighted Lebesgue spaces with variable exponent, over spaces of homogeneous type is obtained. The resulting class of weights coincides with the classical Muckenhoupt class in the case of constant exponents.
Weighted estimations of the maximal operator on metric measure spaces / Fiorenza, Alberto. - (2008).
Weighted estimations of the maximal operator on metric measure spaces
FIORENZA, ALBERTO
2008
Abstract
The boundedness of the maximal operator in weighted Lebesgue spaces with variable exponent, over spaces of homogeneous type is obtained. The resulting class of weights coincides with the classical Muckenhoupt class in the case of constant exponents.File in questo prodotto:
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