A note on generalized Poincaré-type inequalities with applications to weighted improved Poincaré-type inequalities
Keywords:
Improved Poincaré-Sobolev inequalities, weights, fractional inequalitiesAbstract
The main result of this paper supports a conjecture by Pérez and Rela about the properties of the weight appearing in their recent self-improving result of generalized inequalities of Poincaré-type in the Euclidean space. The result we obtain does not need any condition on the weight, but still is not fully satisfactory, even though the result by Pérez and Rela is obtained as a corollary of ours. Also, we extend the conclusions of their theorem to the rangeHow to Cite
Martínez-Perales, J. C. (2021). A note on generalized Poincaré-type inequalities with applications to weighted improved Poincaré-type inequalities. Annales Fennici Mathematici, 46(1), 129–152. Retrieved from https://afm.journal.fi/article/view/109399
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