Kałamajska, Agnieszka Pointwise multiplicative inequalities and Nirenberg type estimates in weighted Sobolev spaces. (English) Zbl 0819.46021 Stud. Math. 108, No. 3, 275-290 (1994). Summary: We prove pointwise multiplicative inequalities on bounded domains with the cone property and on infinite cones, and derive a certain class of multiplicative inequalities in weighted Sobolev spaces with Muckenhoupt weights. We also find some new formulas to represent functions by their derivatives. Cited in 11 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 26D10 Inequalities involving derivatives and differential and integral operators 31B10 Integral representations, integral operators, integral equations methods in higher dimensions Keywords:pointwise multiplicative inequalities on bounded domains with the cone property; multiplicative inequalities in weighted Sobolev spaces with Muckenhoupt weights PDF BibTeX XML Cite \textit{A. Kałamajska}, Stud. Math. 108, No. 3, 275--290 (1994; Zbl 0819.46021) Full Text: DOI EuDML OpenURL