AbstractA logarithmic Sobolev inequality with respect to the probability measure Aλ(1 − x2)λ − (12) dx on [−1, 1] is proved for all λ > −12. From this inequality sharp hypercontractive estimates are derived for the heat semigroups for ultraspherical polynomials and on the n-sphere
We introduce heat semigroup-based Besov classes in the general framework of Dirichlet spaces. Genera...
The equation ut = ∆p(u1/(p−1)) for p> 1 is a nonlinear generalization of the heat equation which ...
AbstractThe equation ut=Δp(u1/(p−1)) for p>1 is a nonlinear generalization of the heat equation whic...
AbstractA logarithmic Sobolev inequality with respect to the probability measure Aλ(1 − x2)λ − (12) ...
AbstractA logarithmic Sobolev inequality, analogous to Gross' inequality, is proved on the circle. F...
AbstractFollowing the equivalence between logarithmic Sobolev inequality, hypercontractivity of the ...
76 pages, 1 figureWe introduce and study a notion of Orlicz hypercontractive semigroups. We analyze ...
We introduce and study a notion of Orlicz hypercontractive semigroups. We analyze their relations wi...
We introduce and study a notion of Orlicz hypercontractive semigroups. We analyze their relations wi...
AbstractIn the line of investigation of the works by D. Bakry and M. Emery (Lecture Notes in Math., ...
The purpose of this presentation is to provide an example where improved in-formation on hypercontra...
The equation ut=Δp(u1/(p−1)) for p>1 is a nonlinear generalization of the heat equation which is als...
The equation ut = ∆p(u1/(p−1)) for p > 1 is a nonlinear generalization of the heat equation which is...
AbstractAbstract connections between integral kernels of positivity preserving semigroups and suitab...
We study positivity and contractivity properties for semigroups on M2(C), compute the optimal log-So...
We introduce heat semigroup-based Besov classes in the general framework of Dirichlet spaces. Genera...
The equation ut = ∆p(u1/(p−1)) for p> 1 is a nonlinear generalization of the heat equation which ...
AbstractThe equation ut=Δp(u1/(p−1)) for p>1 is a nonlinear generalization of the heat equation whic...
AbstractA logarithmic Sobolev inequality with respect to the probability measure Aλ(1 − x2)λ − (12) ...
AbstractA logarithmic Sobolev inequality, analogous to Gross' inequality, is proved on the circle. F...
AbstractFollowing the equivalence between logarithmic Sobolev inequality, hypercontractivity of the ...
76 pages, 1 figureWe introduce and study a notion of Orlicz hypercontractive semigroups. We analyze ...
We introduce and study a notion of Orlicz hypercontractive semigroups. We analyze their relations wi...
We introduce and study a notion of Orlicz hypercontractive semigroups. We analyze their relations wi...
AbstractIn the line of investigation of the works by D. Bakry and M. Emery (Lecture Notes in Math., ...
The purpose of this presentation is to provide an example where improved in-formation on hypercontra...
The equation ut=Δp(u1/(p−1)) for p>1 is a nonlinear generalization of the heat equation which is als...
The equation ut = ∆p(u1/(p−1)) for p > 1 is a nonlinear generalization of the heat equation which is...
AbstractAbstract connections between integral kernels of positivity preserving semigroups and suitab...
We study positivity and contractivity properties for semigroups on M2(C), compute the optimal log-So...
We introduce heat semigroup-based Besov classes in the general framework of Dirichlet spaces. Genera...
The equation ut = ∆p(u1/(p−1)) for p> 1 is a nonlinear generalization of the heat equation which ...
AbstractThe equation ut=Δp(u1/(p−1)) for p>1 is a nonlinear generalization of the heat equation whic...
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