In this paper we prove some improved Hardy type inequalities with respect to the Gaussian measure. We show that they are strictly related to the well-known Gross Logarithmic Sobolev inequality. Some applications to elliptic P.D.E.'s are also given.
Brandolini B., Chiacchio F., Trombetti C. (2007). Hardy type inequalities and Gaussian measure. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 6(2), 411-428 [10.3934/cpaa.2007.6.411].
Hardy type inequalities and Gaussian measure
Brandolini B.
;
2007-01-01
Abstract
In this paper we prove some improved Hardy type inequalities with respect to the Gaussian measure. We show that they are strictly related to the well-known Gross Logarithmic Sobolev inequality. Some applications to elliptic P.D.E.'s are also given.
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