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math.FA2018
Interpolation of weighted Sobolev spaces
Michael Cwikel, Amit Einav
In this work we present a newly developed study of the interpolation of weighted Sobolev spaces by the complex method. We show that in some cases, one can obtain an analogue of the…
math.FA2018
Weak Poincaré inequalities in the absence of spectral gaps
Jonathan Ben-Artzi, Amit Einav
For generators of Markov semigroups which lack a spectral gap, it is shown how bounds on the density of states near zero lead to a so-called "weak Poincaré inequality" (WPI), origi…