Two-weighted Hardy operators in spaces and applications
Tom 249 / 2019
Studia Mathematica 249 (2019), 143-162
MSC: Primary 46B50; Secondary 46E30.
DOI: 10.4064/sm180204-20-8
Opublikowany online: 3 June 2019
Streszczenie
We establish bounds for the norm of the two-weighted Hardy operator H_{v,w} in variable exponent Lebesgue spaces L^{p(\cdot )}. The results derived are applied to (a) estimate the measure of non-compactness for H_{v,w}; (b) prove a two-weighted variant of the Rellich inequality in L^{p(\cdot )}.
