Spectral Multiplier Operators with Respect to the Gaussian Measure

2019 ◽  
pp. 231-244
Author(s):  
Wilfredo Urbina-Romero
Keyword(s):  
Gaussian Measure ◽  
Spectral Multiplier ◽  
Multiplier Operators

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.

scholarly journals Approximate solutions of equations defined by complex spherical multiplier operators

2005 ◽  
Vol 2005 (2) ◽  
pp. 93-115
Author(s):  
C. P. Oliveira
Keyword(s):  
Approximate Solutions ◽  
Positive Definite ◽  
Positive Definite Functions ◽  
Sobolev Type ◽  
Sobolev Type Spaces ◽  
Type Spaces ◽  
Solutions Of Equations ◽  
Multiplier Operators

This paper studies, in a partial but concise manner, approximate solutions of equations defined by complex spherical multiplier operators. The approximations are from native spaces embedded in Sobolev-type spaces and derived from the use of positive definite functions to perform spherical interpolation.

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
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