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(ω, c)-periodic functions and mild solutions to abstract fractional integro-differential equations
(University of Szeged, 2018)
© 2018, University of Szeged. All rights reserved. In this paper we study a new class of functions, which we call (ω, c)-periodic functions. This collection includes periodic, anti-periodic, Bloch and unbounded functions. ...
(ω, c)-periodic functions and mild solutions to abstract fractional integro-differential equations
(Univ Szeged, 2018)
In this paper we study a new class of functions, which we call (omega, c)-periodic functions. This collection includes periodic, anti-periodic, Bloch and unbounded functions. We prove that the set conformed by these functions ...
On Furstenberg's intersection conjecture, self-similar measures, and the Lq norms of convolutions
(Annal Mathematics, 2019-03)
We study a class of measures on the real line with a kind of self-similar structure, which we call dynamically driven self-similar measures, and contain proper self-similar measures such as Bernoulli convolutions as special ...
Boundedness of convolution operators with smooth kernels on Orlicz spaces
(Polish Academy of Sciences. Institute of Mathematics, 2002-12)
We study boundedness in Orlicz norms of convolution operators with integrable kernels satisfying a generalized Lipschitz condition with respect to normal quasidistances of ℝn and continuity moduli given by growth functions.