JournalsjemsVol. 12 , No. 1DOI 10.4171/jems/195

Estimates for differential operators of vector analysis involving <em>L</em><sup>1</sup>-norm

  • Vladimir G. Maz'ya

    Linköping University, Sweden
Estimates for differential operators of vector analysis involving <em>L</em><sup>1</sup>-norm cover

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].