Estimates for the first eigenvalues of Bi-drifted Laplacian on smooth metric measure space

2022 ◽  
Vol 80 ◽  
pp. 101839
Author(s):  
Marcio Costa Araújo Filho
Keyword(s):  
Measure Space ◽  
Metric Measure Space ◽  
Smooth Metric Measure Space

scholarly journals Diffusion, Optimal Transport and Ricci Curvature for Metric Measure Space

2017 ◽  
Vol 2017-3 (103) ◽  
pp. 19-28
Author(s):  
Luigi Ambrosio ◽  
Nicola Gigli ◽  
Giuseppe Savaré
Keyword(s):  
Ricci Curvature ◽  
Measure Space ◽  
Optimal Transport ◽  
Metric Measure Space

scholarly journals Characterizations of Orlicz-Sobolev Spaces by Means of Generalized Orlicz-Poincaré Inequalities

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Toni Heikkinen
Keyword(s):  
Sobolev Space ◽  
Sobolev Spaces ◽  
Measure Space ◽  
Poincaré Inequality ◽  
Metric Measure Space ◽  
Poincare Inequality ◽  
Poincaré Inequalities ◽  
Space Setting ◽  
Poincare Inequalities

Let Φ be anN-function. We show that a functionu∈LΦ(ℝn)belongs to the Orlicz-Sobolev spaceW1,Φ(ℝn)if and only if it satisfies the (generalized) Φ-Poincaré inequality. Under more restrictive assumptions on Φ, an analog of the result holds in a general metric measure space setting.

Sign in / Sign up

Export Citation Format

Share Document