Listando por materia "Anàlisi harmònica"
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Embeddings for monotone functions and Bp weights, between discrete and continuous
(2005)We characterize the embedding for general weighted Lebesgue spaces of monotone functions by using the analog embedding for discrete monotone sequences indexed over the integers. We then use these ... -
Hardy’s inequalities for monotone functions on partly ordered measure spaces
(2006)We characterize the weighted Hardy inequalities for monotone functions in Rn +. In dimension n = 1, this recovers the standard theory of Bp weights. For n > 1, the result was previously only known ... -
Weighted inequalities and the shape of approach regions
(1999)We characterize geometric properties of a family of approach regions by means of analytic properties of the class of weights related to the boundedness of the maximal operator associated with this family.