Sobolev inequalities on homogeneous spaces
From MaRDI portal
Publication:1902480
DOI10.1007/BF01053449zbMath0833.46020OpenAlexW4248123927MaRDI QIDQ1902480
Publication date: 5 March 1996
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01053449
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dirichlet forms (31C25) Degenerate elliptic equations (35J70)
Related Items
Heat kernels on metric measure spaces and an application to semilinear elliptic equations, Gauged Sobolev inequalities, Attractors for a class of semi-linear degenerate parabolic equations with critical exponent, Unnamed Item, Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type, The behavior and classification of solutions bounded from below to degenerate elliptic equations in unbounded cylinders, Spectral asymptotics for variational fractals, Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates, Ahlfors type estimates for perimeter measures in Carnot-Carathéodory spaces, Parabolic Harnack inequality on metric spaces with a generalized volume property, On the Poincaré inequality for vector fields, A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces, Nonlinear subelliptic Schrödinger type problems, Harnack inequality for the Schrödinger problem relative to strongly local Riemannian \(p\)-homogeneous forms with a potential in the Kato class, Harnack inequality for harmonic functions relative to a nonlinear \(p\)-homogeneous Riemannian Dirichlet form, Heat kernel generated frames in the setting of Dirichlet spaces, Unnamed Item, Covering theorems, inequalities on metric spaces and applications to PDE's, Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces, Subelliptic Sobolev spaces for manifolds with symmetries, Gauge Functions and Sobolev Inequalities on Fluctuating Domains, A partial solution of the isoperimetric problem for the Heisenberg group, Sobolev Inequalities in Familiar and Unfamiliar Settings, Poincaré-type inequality for Lipschitz continuous vector fields, The Liouville property of unbounded fractal layers, Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces, Relaxed Dirichlet problem for the subelliptic \(p\)-Laplacian, \(L^1\rightarrow L^q\) Poincaré inequalities for \(0<q<1\) imply representation formulas, Sobolev and Morrey estimates for non-smooth vector fields of step two
Cites Work
- Composite media and asymptotic Dirichlet forms
- Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Unnamed Item
- Unnamed Item
