Estimates for differential operators of vector analysis involving -norm
Vladimir G. Maz'ya
Linköping University, Sweden
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Abstract
New Hardy and Sobolev type inequalities involving -norms of scalar and vector valued functions in 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 -norm. J. Eur. Math. Soc. 12 (2010), no. 1, pp. 221–240
DOI 10.4171/JEMS/195