Volume and Gaussian Measure of Semi-Algebraic Sets

2020 ◽  
pp. 25-51
Keyword(s):  
Gaussian Measure ◽  
Algebraic Sets

Affine algebraic sets relative to an algebraic theory

1999 ◽  
Vol 65 (1-2) ◽  
pp. 54-76 ◽  
Author(s):  
Yves Diers
Keyword(s):  
Algebraic Theory ◽  
Algebraic Sets

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.

Points near real algebraic sets

2014 ◽  
Vol 142 (12) ◽  
pp. 4127-4132
Author(s):  
W. M. Schmidt ◽  
U. Zannier
Keyword(s):  
Algebraic Sets

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
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