The isoperimetric inequality for isotropic unimodal L�vy processes
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Publication:3664169
DOI10.1007/BF00533722zbMath0516.60079OpenAlexW2046539811MaRDI QIDQ3664169
Publication date: 1983
Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00533722
Related Items (34)
Estimates of heat kernels of non-symmetric Lévy processes ⋮ Gradient estimates of harmonic functions and transition densities for Lévy processes ⋮ On directional convolution equivalent densities ⋮ Unavoidable collections of balls for isotropic Lévy processes ⋮ Trace estimates for unimodal Lévy processes ⋮ Small-time sharp bounds for kernels of convolution semigroups ⋮ Kato classes for Lévy processes ⋮ Energy formulae for fractional Schrödinger-Poisson system ⋮ Potential kernels, probabilities of hitting a ball, harmonic functions and the boundary Harnack inequality for unimodal Lévy processes ⋮ Asymptotic behavior of densities of unimodal convolution semigroups ⋮ Dirichlet heat kernel for unimodal Lévy processes ⋮ Fundamental solution for super-critical non-symmetric Lévy-type operators ⋮ Computation of Riesz \(\boldsymbol{\alpha }\)-Capacity \(\boldsymbol{\textrm{C}}_{\boldsymbol{\alpha}}\) of General Sets in \(\boldsymbol{\mathbb{R}}^{\boldsymbol{d}}\) Using Stable Random Walks ⋮ Regularity for fully nonlinear equations driven by spatial-inhomogeneous nonlocal operators ⋮ Lévy processes: concentration function and heat kernel bounds ⋮ Uniform dimension results for the inverse images of symmetric Lévy processes ⋮ Density and tails of unimodal convolution semigroups ⋮ Symmetric rearrangements around infinity with applications to Lévy processes ⋮ Parabolic Littlewood-Paley inequality for \(\phi(-{\Delta})\)-type operators and applications to stochastic integro-differential equations ⋮ Remarks on the nonlocal Dirichlet problem ⋮ An isoperimetric inequality for Riesz capacities ⋮ Hitting times of points and intervals for symmetric Lévy processes ⋮ Symmetrization of Lévy processes and applications ⋮ Heat kernels of non-symmetric Lévy-type operators ⋮ On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes ⋮ Estimates of Dirichlet heat kernel for symmetric Markov processes ⋮ Density behaviour related to Lévy processes ⋮ A Combinatorial Approach to Small Ball Inequalities for Sums and Differences ⋮ Green function for gradient perturbation of unimodal Lévy processes in the real line ⋮ Minimizing capacity among linear images of rotationally invariant conductors ⋮ Asymptotic estimates of multi-dimensional stable densities and their applications ⋮ Estimates of Dirichlet heat kernels for unimodal Lévy processes with low intensity of small jumps ⋮ Barriers, exit time and survival probability for unimodal Lévy processes ⋮ Dirichlet heat kernel estimates for rotationally symmetric Lévy processes
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- Best constant in Sobolev inequality
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- On the unimodality of infinitely divisible distribution functions
- The isoperimetric inequality
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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