Bernstein's theorem and translation invariant operators
نویسندگان
چکیده
منابع مشابه
A Converse Extrapolation Theorem for Translation-invariant Operators
Theorem 1.1. Let G, X, p0, and r be as above. Suppose T is translation invariant, maps L log L to L, and is bounded on L0 . Then T is bounded on L, 1 < p < p0 with an operator norm of O((p − 1) ). This theorem is false without the assumption of translation invariance, since L is not an interpolation space between L log L and L0 . For a concrete counterexample, take E and F be subsets of X of me...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1981
ISSN: 0018-2079
DOI: 10.32917/hmj/1206134219