A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes
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Publication:2723498
DOI10.1090/S0002-9939-01-06137-8zbMath0974.60037MaRDI QIDQ2723498
Rodrigo Bañuelos, Pedro J. Mendez-Hernandez, Rafał Latała
Publication date: 5 July 2001
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Probabilistic potential theory (60J45) Stable stochastic processes (60G52) Elliptic equations and elliptic systems (35J99)
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Cites Work
- Unnamed Item
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- On the spectral gap for compact manifolds
- Maximum principles and their applications
- Estimates on Green functions and Poisson kernels for symmetric stable processes
- Brownian motion and the fundamental frequency of a drum
- Intrinsic ultracontractivity and conditional gauge for symmetric stable processes
- A general rearrangement inequality for multiple integrals
- An isoperimetric-type inequality for integrals of Green's functions
- First Passage Times for Symmetric Stable Processes in Space
- Some Theorems on Stable Processes
- A Lower Bound for the Fundamental Frequency of a Convex Region
- Chung’s law for integrated Brownian motion
- Isoperimetric-type bounds for solutions of the heat equation
- Generalized Isoperimetric Inequalities