## Real Analysis Exchange

### Embeddings of Weighted Sobolev Spaces

#### Abstract

We prove a version of Schur’s lemma for operators with positive kernels on weighted $L_p$ spaces and apply the result to Riesz potentials of first order to get weighted generalizations of Trudinger’s limiting embedding.

#### Article information

Source
Real Anal. Exchange, Volume 23, Number 2 (1999), 395-420.

Dates
First available in Project Euclid: 14 May 2012