D. E. Edmunds, V. Kokilashvili, A. Meskhi

Weight Inequalities for Singular Integrals Defined on Spaces of Homogeneous and Nonhomogeneous Type

abstract:
Optimal sufficient conditions are found in weighted Lorentz spaces for weight functions which provide the boundedness of the Calder\'{o}n--Zyg\-mund singular integral operator defined on spaces of homogeneous and nonhomogeneous type