Shi, Xianliang; Torchinsky, Alberto Poincaré and Sobolev inequalities in product spaces. (English) Zbl 0779.42011 Proc. Am. Math. Soc. 118, No. 4, 1117-1124 (1993). From the abstract: Some local Poincaré and Sobolev inequalities involving weights in product spaces are established. Reviewer: N.Jacob (Erlangen) Cited in 1 ReviewCited in 4 Documents MSC: 42B25 Maximal functions, Littlewood-Paley theory 35R45 Partial differential inequalities and systems of partial differential inequalities 26D10 Inequalities involving derivatives and differential and integral operators Keywords:Poincaré inequality; Sobolev inequality; product spaces PDFBibTeX XMLCite \textit{X. Shi} and \textit{A. Torchinsky}, Proc. Am. Math. Soc. 118, No. 4, 1117--1124 (1993; Zbl 0779.42011) Full Text: DOI