Estimates for differential operators of vector analysis involving $L^1$-norm

Abstract

New Hardy and Sobolev type inequalities involving $L^1$-norms of scalar and vector-valued functions in ${\mathbb{R}}^n$ are obtained. The work is related to some problems stated in the recent paper by Bourgain and Brezis

corrected typos

Cited by in corpus (2)

• Hardy-Sobolev inequalities for vector fields and canceling linear differential operators
• A subelliptic Bourgain-Brezis inequality