Two weight norm inequalities for vector-valued operators

Abstract

We study two weight norm inequalities for a vector-valued operator from a weighted $L^p(\sigma )$-space to mixed norm $L_{l^s}^q(\mu )$ spaces, $1<q<p$. We apply these results to the boundedness of Wolff's potentials.

Corrected some gaps, improved redaction

References in corpus (6)

• Two Weight Inequalities for Discrete Positive Operators
• Two weight norm inequalities for fractional integral operators and commutators
• A Characterization of Two-Weight Inequalities for a Vector-Valued Operator
• Another proof of Scurry's characterization of a two weight norm inequality for a sequence-valued positive dyadic operator
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Cited by in corpus (2)

• Pointwise estimates of Brezis-Kamin type for solutions of sublinear elliptic equations
• Weighted $L^p\to L^q$-boundedness of commutators and paraproducts in the Bloom setting