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-dimensional rectangular Hardy operator on weighted Lebesgue spaces on $\mathbb{R}_+^2$.

Singular integral operators and elliptic boundary-value problems. Part I

for integral operators with variable limita of integration in the Lebesgue spaces with measures.

-measurable operators A and B, we find sufficient conditions of the τ -integrability of the operator λI −AB and the real

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of the Marcinkiewicz integral operators μjL and their commutators [b,μjL] with b∈ BMOθ(ρ) on generalized Morrey spaces

potential V belonging to the reverse Hölder class RHn/2. The fractional integral operator associated with L

in terms of given parameters 0 < p, q < ∞, strictly increasing boundaries a(x) and b(x), locally integrable

algebra M, let p, 0 < p < ∞, be a number, and let Lp(M, τ) be the space of operators whose pth power

Страница 9 из 4338