Symmetric Decreasing Rearrangement Is Sometimes Continuous
نویسندگان
چکیده
منابع مشابه
Symmetric Decreasing Rearrangement Is Sometimes Continuous
This paper deals with the operation .9R 'of symmetric decreasing re-arrangement which maps Wl,p (Rn) to Wi ,p (Rn) . We show that even thoughit is norm decreasing, .9R is not continuous for n ~ 2. The functions at which.9R is continuous are precisely characterized by a new property called co-arearegularity. Every sufficiently differentiable function is co-area regular, and both<...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1989
ISSN: 0894-0347
DOI: 10.2307/1990893