Pérez: Sharp $L^p$-weighted Sobolev inequalities

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Carlos Pérez
Sharp $L^p$-weighted Sobolev inequalities
Annales de l'institut Fourier, 45 no. 3 (1995), p. 809-824, doi: 10.5802/aif.1475
Article PDF | Reviews MR 96m:42032 | Zbl 0820.42008

Résumé - Abstract

We prove sharp weighted inequalities of the form

$$\int _{{\bf R}^n}\vert f(x)\vert ^p v(x)dx\le C\int _{{\bf R}^n}\vert q(D)(f)(x)\vert ^p N(v)(x)dx$$

where $q(D)$ is a differential operator and $N$ is a combination of maximal type operator related to $q(D)$ and to $p$.

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