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

Vladimir G. Maz'ya

doi:10.4171/jems/195

JournalsjemsVol. 12, No. 1pp. 221–240

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

Vladimir G. Maz'ya
Linköping University, Sweden

Download PDF

Abstract

New Hardy and Sobolev type inequalities involving $L^{1}$ -norms of scalar and vector valued functions in $R^{n}$ are obtained. The work is related to some problems stated in the recent paper by Bourgain and Brezis [BB2].

Cite this article

Vladimir G. Maz'ya, Estimates for differential operators of vector analysis involving $L^{1}$ -norm. J. Eur. Math. Soc. 12 (2010), no. 1, pp. 221–240

DOI 10.4171/JEMS/195