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A note on a weighted Sobolev inequality


Authors: Filippo Chiarenza and Michele Frasca
Journal: Proc. Amer. Math. Soc. 93 (1985), 703-704
MSC: Primary 46E35; Secondary 42B25
DOI: https://doi.org/10.1090/S0002-9939-1985-0776206-0
MathSciNet review: 776206
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Abstract | References | Similar Articles | Additional Information

Abstract: We give a simple proof of a weighted imebedding theorem whose proof was originally given in [3].


References [Enhancements On Off] (What's this?)

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  • [2] R. Coifman and C. Fefferman, Weighted norm inequalities for maximal functions and singular integrals, Studia Math. 51 (1974), 241-250. MR 0358205 (50:10670)
  • [3] E. Fabes, C. Kenig and R. Serapioni, The local regularity of solutions of degenerate elliptic equations, Comm. Partial Differential Equations 7 (1982), 77-116. MR 643158 (84i:35070)
  • [4] L. Hedberg, On certain convolution inequalities, Proc. Amer. Math. Soc. 36 (1972), 505-510. MR 0312232 (47:794)
  • [5] B. Muckenhoupt, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226. MR 0293384 (45:2461)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0776206-0
Keywords: Weighted inequalities, Sobolev spaces, maximal functions
Article copyright: © Copyright 1985 American Mathematical Society

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