scholarly journals Analyticity of Nonsymmetric Ornstein-Uhlenbeck Semigroup with Respect to a Weighted Gaussian Measure

2020 ◽  
Vol 54 (1) ◽  
pp. 95-117
Author(s):  
D. Addona
Keyword(s):  
Gaussian Measure

scholarly journals On the lack of dimension-free estimates in Lp for maximal functions associated to radial measures

2010 ◽  
Vol 140 (3) ◽  
pp. 541-552 ◽  
Author(s):  
Alberto Criado
Keyword(s):  
Gaussian Measure ◽  
Maximal Operator ◽  
Recent Article ◽  
Maximal Functions

In a recent article Aldaz proved that the weak L1 bounds for the centred maximal operator associated to finite radial measures cannot be taken independently with respect to the dimension. We show that the same result holds for the Lp bounds of such measures with decreasing densities, at least for small p near to one. We also give some concrete examples, including the Gaussian measure, where better estimates with respect to the general case are obtained.

AN ISOPERIMETRIC RESULT FOR THE GAUSSIAN MEASURE AND UNCONDITIONAL SETS

2001 ◽  
Vol 33 (4) ◽  
pp. 408-416 ◽  
Author(s):  
F. BARTHE
Keyword(s):  
Gaussian Measure ◽  
Isoperimetric Problem ◽  
Boundary Measure

The paper studies an isoperimetric problem for the Gaussian measure and coordinatewise symmetric sets. The notion of boundary measure corresponding to the uniform enlargement is considered, and it is proved that symmetric strips or their complements have minimal boundary measure.

scholarly journals Gaussian Measure of Normal Subgroups

1983 ◽  
Vol 11 (3) ◽  
pp. 685-691 ◽  
Author(s):  
T. Byczkowski ◽  
A. Hulanicki
Keyword(s):  
Gaussian Measure ◽  
Normal Subgroups

scholarly journals Stochastic antiderivational equations on non-Archimedean Banach spaces

2003 ◽  
Vol 2003 (41) ◽  
pp. 2587-2602 ◽  
Author(s):  
S. V. Ludkovsky
Keyword(s):  
Banach Spaces ◽  
Gaussian Measure ◽  
Existence And Uniqueness ◽  
Wiener Processes

Stochastic antiderivational equations on Banach spaces over local non-Archimedean fields are investigated. Theorems about existence and uniqueness of the solutions are proved under definite conditions. In particular, Wiener processes are considered in relation to the non-Archimedean analog of the Gaussian measure.

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