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Atomic Decomposition and Boundedness of Operators on Weighted Hardy Spaces

Atomic Decomposition and Boundedness of Operators on Weighted Hardy Spaces

Abstract In this article, we establish a new atomic decomposition for , where the decomposition converges in -norm rather than in the distribution sense. As applications of this decomposition, assuming that T is a linear operator bounded on and 0 < p ≤ 1, we obtain (i) if T is …