An estimate for the \(L^ 2\)-norm of a quasi continuous function with respect to a smooth measure

DOI10.1007/BF01189100zbMath0878.60048OpenAlexW2078942822MaRDI QIDQ2365009

Zoran Vondraček

Publication date: 14 December 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01189100

zbMATH Keywords

Dirichlet formssmooth measure

Mathematics Subject Classification ID

Dirichlet forms (31C25) Probabilistic potential theory (60J45)

Related Items (10)

Conditional gaugeability and subcriticality of generalized Schrödinger operators ⋮ Hardy's inequality in the scope of Dirichlet forms ⋮ Capacitary bounds of measures and ultracontractivity of time changed processes ⋮ Differentiability of spectral functions for nonsymmetric diffusion processes ⋮ Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings ⋮ Conductor inequalities and criteria for Sobolev type two-weight imbeddings ⋮ Variational formula for Dirichlet forms and estimates of principal eigenvalues for symmetric \(\alpha\)-stable processes ⋮ Capacitary criteria for Poincaré-type inequalities ⋮ Conductor Inequalities and Criteria for Sobolev-Lorentz Two-Weight Inequalities ⋮ Hardy's inequality for Dirichlet forms

Cites Work

• Capacitary inequalities for energy
• Perturbation of Dirichlet forms --- lower semiboundedness, closability, and form cores
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Dirichlet forms and symmetric Markov processes
• Quadratic forms corresponding to the generalized Schrödinger semigroups
• Additive functionals, nowhere Radon and Kato class smooth measures associated with Dirichlet forms
• Imbedding theorems of Sobolev type in potential theory.

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