Logarithmic Sobolev inequalities and the spectrum of Sturm-Liouville operators
✍ Scribed by O.S Rothaus
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 787 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0022-1236
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📜 SIMILAR VOLUMES
We show that transport inequalities, similar to the one derived by M. Talagrand (1996, Geom. Funct. Anal. 6, 587 600) for the Gaussian measure, are implied by logarithmic Sobolev inequalities. Conversely, Talagrand's inequality implies a logarithmic Sobolev inequality if the density of the measure i
Consider the STURM -LIOUVIUE differential expression &U P€C', qEC, p ( z ) =-0, q(z) &Po=--0 0 1 2-€[0, -1 I Ay=aS1p, y~ED(A)=C,(O, =) . -( p ( ~) 21')' + ~( 2 ) U , 0 sz -= m , with and define the (minimal) operator A , A considered a8 an operator in the HILBERT space H = L?( 0, a) is bounded from