Sobolev inequalities for products of powers

A. Eduardo Gatto, Richard L. Wheeden
1989 Transactions of the American Mathematical Society  
We derive weighted Sobolev inequalities of the form ||/||L« < C||V/||Lp , / 6 C£°(R"), 1 < p < q < oo , for classes of weight functions u, v which include v 's that are a finite product of certain power weights times an Ap function.
doi:10.1090/s0002-9947-1989-0967312-4 fatcat:43okkjg6b5hrzmjt2yt6lykn6e