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.
Hardy type inequalities and Gaussian measure / Brandolini, Barbara; Chiacchio, Francesco; Trombetti, Cristina. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - STAMPA. - 6:2(2007), pp. 411-428.
Hardy type inequalities and Gaussian measure
BRANDOLINI, BARBARA;CHIACCHIO, FRANCESCO;TROMBETTI, CRISTINA
2007
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.File in questo prodotto:
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