Real-valued valuations on Sobolev spaces
نویسندگان
چکیده
منابع مشابه
Valuations on Sobolev Spaces
All affinely covariant convex-body-valued valuations on the Sobolev space W (R) are completely classified. It is shown that there is a unique such valuation for Blaschke addition. This valuation turns out to be the operator which associates with each function f ∈W (R) the unit ball of its optimal Sobolev norm. 2000 AMS subject classification: 46B20 (46E35, 52A21,52B45) Let ‖ ·‖ denote a norm on...
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ژورنال
عنوان ژورنال: Science China Mathematics
سال: 2015
ISSN: 1674-7283,1869-1862
DOI: 10.1007/s11425-015-5101-6