Proceedings of the American Mathematical Society

Author(s): Wei-Shyan Tai
Journal: Proc. Amer. Math. Soc. 129 (2001), 699-711.
MSC (2000): Primary 26B35, 41A30, 46E35
Posted: November 3, 2000
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In this paper a capacitary weak type inequality for Sobolev functions is established and is applied to reprove some well-known results concerning Lebesgue points, Taylor expansions in the

-sense, and the Lusin type approximation of Sobolev functions.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 26B35, 41A30, 46E35

Wei-Shyan Tai
Affiliation: Department of Mathematics, National Chung Cheng University, Mingshiung, Chai Yi 61117, Taiwan, R.O.C.

DOI: 10.1090/S0002-9939-00-05976-1
PII: S 0002-9939(00)05976-1
Keywords: Sobolev functions, Riesz capacities, Lusin type properties
Received by editor(s): May 28, 1996
Posted: November 3, 2000
Additional Notes: This work was partially supported by Academia Sinica-Taipei, Taiwan, R.O.C. The author is deceased
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 2000, American Mathematical Society

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