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The Bi-dimensional space of Korenblum and composition operator

The Bi-dimensional space of Korenblum and composition operator

Abstract In this paper we present the concept of total κ-variation in the sense of Hardy-Vitali-Korenblum for a real function defined in the rectangle I a b ⊂R 2 . We show that the space κBV(I a b , R) of real functions of two variables with finite total κ-variation …