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Pankka, Pekka; Poggi-Corradini, Pietro; Rajala, Kai

Sharp exponential integrability for traces of monotone Sobolev functions. (English) Zbl 1167.46024

Nagoya Math. J. 192, 137-149 (2008).
Summary: We answer a question posed by P. Poggi-Corradini and K. Rajala [J. Lond. Math. Soc., II. Ser. 76, No. 2, 531–544 (2007; Zbl 1135.30014)] on exponential integrability of functions of restricted \(n\)-energy. We use geometric methods to obtain a sharp exponential integrability result for boundary traces of monotone Sobolev functions defined on the unit ball.

Cited in 3 Documents

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
31C45 Other generalizations (nonlinear potential theory, etc.)

Citations:

Zbl 1135.30014
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Full Text: DOI arXiv Euclid

References:

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