arXiv subjects

Y. Sagher

Publications and source records attributed to Y. Sagher.

2 recordsLinked to original sources

arXiv2019

Norm Inequalities for the Fourier Coefficients of Some Almost Periodic Functions

Using C. Fefferman's embedding of a charge space in a measure space allows us to apply standard interpolation theorems to prove norm inequalities for Besicovitch almost periodic functions. This yields an analogue of Paley's Inequality for the Fourier coefficients of periodic functions.

math.CA↗

arXiv2014

General monotonicity, interpolation of operators, and applications

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.

math.CA↗