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math.FA2015★ 15 cited
Sobolev spaces on warped products
Nicola Gigli, Bang-Xian Han
We study the structure of Sobolev spaces on the cartesian/warped products of a given metric measure space and an interval. Our main results are: - the characterization of the Sobol…
math.MG2015
Conformal transformation on metric measure spaces
Bang-Xian Han
We study several problems concerning conformal transformation on metric measure spaces, including the Sobolev space, the differential structure and the curvature-dimension conditio…