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math.FA2023
A note on rearrangement Poincaré inequalities and the doubling condition
Joaquim Martín, Walter A. Ortiz
We introduce Poincaré type inequalities based on rearrangement invariant spaces in the setting of metric measure spaces and analyze when they imply the doubling condition on the un…
math.FA2019
Sobolev Anisotropic inequalities with monomial weights
Filomena Feo, Joaquim Martín, MRosaria Posteraro
We derive some anisotropic Sobolev inequalities in with a monomial weight in the general setting of rearrangement invariant spaces. Our starting point is to obtain…