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arXiv · 1410.6846

General monotonicity, interpolation of operators, and applications

S. M. Grigoriev·Y. Sagher·T. R. Savage
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Abstract

We continue the work of S. Tikhonov, E. Liflyand, B. Booton, and others, proving the equivalence of L(p,q)-norms of general monotone functions and of their Fourier transforms. The main tool in this work is the interpolation properties of cones of general monotone functions in L(p,q)-norms.

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S. M. Grigoriev, Y. Sagher, T. R. Savage. 2014-10-24. General monotonicity, interpolation of operators, and applications. https://arxiv.org/abs/1410.6846

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