AbstractWe present a new method of producing optimizing sequences for highly symmetric functionals. The sequences have good convergence properties built in. We apply the method in different settings to give elementary proofs of some classical inequalities—such as the Hardy-Littlewood-Sobolev and the logarithmic Sobolev inequality—in their sharp form
AbstractConsider two types of translation-invariant functionals I and J on Rm, and a sequence of fun...
Extended Hardy-Littlewood inequalities are where {ui}1≤i≤m are non-negative functions and denote the...
Extended Hardy-Littlewood inequalities are where {ui}1≤i≤m are non-negative functions and denote the...
AbstractWe present a new method of producing optimizing sequences for highly symmetric functionals. ...
We give a new proof of certain cases of the sharp HLS inequality. Instead of symmetric decreasing re...
AbstractThe cases of equality are analyzed in Steiner symmetrization inequalities for Dirichlet-type...
We give a new proof of certain cases of the sharp HLS inequality. Instead of symmetric decreasing re...
This article is devoted to a review of some recent results on existence, symmetry and symmetry break...
We show that the sharp constant in the Hardy-Littlewood-Sobolev inequality can be derived using the ...
We review some topics in the theory of symmetric decreasing rearrangements with a particular focus o...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
We show that the sharp constant in the Hardy-Littlewood-Sobolev inequality can be derived using the ...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
AbstractConsider two types of translation-invariant functionals I and J on Rm, and a sequence of fun...
Extended Hardy-Littlewood inequalities are where {ui}1≤i≤m are non-negative functions and denote the...
Extended Hardy-Littlewood inequalities are where {ui}1≤i≤m are non-negative functions and denote the...
AbstractWe present a new method of producing optimizing sequences for highly symmetric functionals. ...
We give a new proof of certain cases of the sharp HLS inequality. Instead of symmetric decreasing re...
AbstractThe cases of equality are analyzed in Steiner symmetrization inequalities for Dirichlet-type...
We give a new proof of certain cases of the sharp HLS inequality. Instead of symmetric decreasing re...
This article is devoted to a review of some recent results on existence, symmetry and symmetry break...
We show that the sharp constant in the Hardy-Littlewood-Sobolev inequality can be derived using the ...
We review some topics in the theory of symmetric decreasing rearrangements with a particular focus o...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
We show that the sharp constant in the Hardy-Littlewood-Sobolev inequality can be derived using the ...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
AbstractConsider two types of translation-invariant functionals I and J on Rm, and a sequence of fun...
Extended Hardy-Littlewood inequalities are where {ui}1≤i≤m are non-negative functions and denote the...
Extended Hardy-Littlewood inequalities are where {ui}1≤i≤m are non-negative functions and denote the...
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