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Intrinsic Ultracontractivity for Levy processes

Probability 2011-07-06 v1 Functional Analysis

Abstract

We prove the intrinsic ultracontractivity for the semigroup generated by a large class of symmetric Levy processes such that the Levy measure satisfies some conditions in the neighborhood of 0, killed on exiting a bounded and connected Lipschitz domain.

Keywords

Cite

@article{arxiv.math/0606659,
  title  = {Intrinsic Ultracontractivity for Levy processes},
  author = {Tomasz Grzywny},
  journal= {arXiv preprint arXiv:math/0606659},
  year   = {2011}
}

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9 pages