Topics
semigroupBuilding
We study $L^p$ Besov critical exponents and isoperimetric and Sobolev inequalities associated with fractional Laplacians on metric measure spaces. The main tool is the theory of heat semigroup based Besov classes in Dirichlet spaces that was introduced by the authors in previous works
Cao J, Grigoryan A. Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Ellip...
Recent work of Bui, Duong and Yan in [2] defined Besov spaces associated with a certain operator L u...
Abstract. Generalizing work of Li and Wang, we prove sharp volume growth/decay rates for ends of met...
We introduce heat semigroup-based Besov classes in the general framework of Dirichlet spaces. Genera...
We introduce the class of bounded variation (BV) functions in a general framework of strictly local ...
With a view toward fractal spaces, by using a Korevaar-Schoen space approach, we introduce the class...
This is a survey of recent results on function spaces associated with the Dirichlet Laplacian. We st...
The purpose of this paper is to establish bilinear estimates in Besov spaces generated by the Dirich...
Cao J, Grigoryan A. Heat kernels and Besov spaces on metric measure spaces. Journal d'Analyse Mathém...
AbstractLet L be the generator of an analytic semigroup whose heat kernel satisfies an upper bound o...
Let (M, rho, mu) be a metric measure space satisfying the doubling, reverse doubling and noncollapsi...
We study two notions of Dirichlet problem associated with BV energy minimizers (also called function...
We study two notions of Dirichlet problem associated with BV energy minimizers (also called function...
This is a self-contained textbook of the theory of Besov spaces and Triebel–Lizorkin spaces oriented...
We study two notions of Dirichlet problem associated with BV energy minimizers (also called function...
Cao J, Grigoryan A. Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Ellip...
Recent work of Bui, Duong and Yan in [2] defined Besov spaces associated with a certain operator L u...
Abstract. Generalizing work of Li and Wang, we prove sharp volume growth/decay rates for ends of met...
We introduce heat semigroup-based Besov classes in the general framework of Dirichlet spaces. Genera...
We introduce the class of bounded variation (BV) functions in a general framework of strictly local ...
With a view toward fractal spaces, by using a Korevaar-Schoen space approach, we introduce the class...
This is a survey of recent results on function spaces associated with the Dirichlet Laplacian. We st...
The purpose of this paper is to establish bilinear estimates in Besov spaces generated by the Dirich...
Cao J, Grigoryan A. Heat kernels and Besov spaces on metric measure spaces. Journal d'Analyse Mathém...
AbstractLet L be the generator of an analytic semigroup whose heat kernel satisfies an upper bound o...
Let (M, rho, mu) be a metric measure space satisfying the doubling, reverse doubling and noncollapsi...
We study two notions of Dirichlet problem associated with BV energy minimizers (also called function...
We study two notions of Dirichlet problem associated with BV energy minimizers (also called function...
This is a self-contained textbook of the theory of Besov spaces and Triebel–Lizorkin spaces oriented...
We study two notions of Dirichlet problem associated with BV energy minimizers (also called function...
Cao J, Grigoryan A. Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Ellip...
Recent work of Bui, Duong and Yan in [2] defined Besov spaces associated with a certain operator L u...
Abstract. Generalizing work of Li and Wang, we prove sharp volume growth/decay rates for ends of met...
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