6 citations · 11 across the 6 of their papers we have counts for
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Discrete Besov spaces via semigroups associated to the discrete Laplacian and regularity of non-local operators
Luciano Abadias, Marta De León-Contreras, Alejandro Mahillo
In this paper we prove characterizations of the discrete Besov spaces in terms of the heat and Poisson semigroups associated with the discrete Laplacian that will allow us to prove…
Variation and oscillation for semigroups associated with discrete Jacobi operators
Jorge J. Betancor, Marta De León-Contreras
In this paper we prove weighted -inequalities for variation and oscillation operators defined by semigroups of operators associated with discrete Jacobi operators. Also, we…
Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions
Jorge J. Betancor, Marta De León-Contreras
In this paper we establish -boundedness properties for variation, oscillation and jump operators associated with Riesz transforms and Poisson semigroups related to Laguerre po…
Variation operators for semigroups associated with Fourier-Bessel expansions
Jorge J. Betancor, Alejandro J. Castro, Marta De León-Contreras
In this paper we establish -boundedness properties for variation operators defined by semigroups associated with Fourier-Bessel expansions.