General monotonicity, interpolation of operators, and applications

2014/10/24 by Stepan M. Grigoriev, Grigoriev, S. M., Sagher, Y. +1
Mathematics · #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1410.6846

openalex publication_date 2014/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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