Zygmund-Calderon Operators in the Weighted Variable Exponent Spaces - Abstract
This article is dedicated to the Zygmund-Calderon operators in the variable exponent spaces ? with measurable function .We establish that if an operator T(f )(x)= f * K with the kernel ,, satisfies the for all then the weight belongs to -class. The inverse is also true, thus, if the maximal operator is bounded in and , then, the inequality holds for all and each .