Displaying similar documents to “A note on A p weights: Pasting weights and changing variables.”

A weighted version of Journé's lemma.

Donald Krug, Alberto Torchinsky (1994)

Revista Matemática Iberoamericana

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In this paper we discuss a weighted version of Journé's covering lemma, a substitution for Whitney decomposition of an open set in R where squares are replaced by rectangles. We then apply this result to obtain a sharp version of the atomic decomposition of the weighted Hardy spaces H (R x R ) and a description of their duals when p is close to 1.

Two weight norm inequalities for fractional one-sided maximal and integral operators

Liliana De Rosa (2006)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we give a generalization of Fefferman-Stein inequality for the fractional one-sided maximal operator: - + M α + ( f ) ( x ) p w ( x ) d x A p - + | f ( x ) | p M α p - ( w ) ( x ) d x , where 0 < α < 1 and 1 < p < 1 / α . We also obtain a substitute of dual theorem and weighted norm inequalities for the one-sided fractional integral I α + .