Weighted norm inequalities for integral transforms with splitting kernels

We obtain necessary and sufficient conditions on weights for a wide class of integral transforms to be bounded between weighted \(L^p-L^q\) spaces, with \(1\leq p\leq q\leq \infty\). The kernels \(K(x,y)\) of such transforms are only assumed to satisfy upper bounds given by products of two functions...

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Veröffentlicht in:	arXiv.org 2024-04
1. Verfasser:	Pinos, Alberto Debernardi
Format:	Artikel
Sprache:	eng
Schlagworte:	Integral transforms Kernels Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis Upper bounds
Online-Zugang:	Volltext
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