On Cohen weakly nuclear multilinear operators
نویسندگان
چکیده
منابع مشابه
Multilinear Localization Operators
In this paper we introduce a notion of multilinear localization operators. By reinterpreting these operators as multilinear Kohn-Nirenberg pseudodifferential operators, we prove that these multilinear localization operators are bounded on products of modulation spaces. In particular, by assuming that the symbols of the localization operators belong to the largest modulation space, i.e., M , we ...
متن کاملTransference of Multilinear Operators
We introduce the notion of transference (k + 1)-tuples of strongly continuous mappings defined on an amenable group G. We use these tuples to transfer boundedness properties of multilinear operators from products of Lebesgue spaces into Lp and weak Lp. 0. Introduction and statement of results Fix an integer k ≥ 2. Let G be an amenable group and (M,dμ) a measure space. For 0 ≤ j ≤ k, let 0 < pj ...
متن کاملMultilinear Calderón-zygmund Operators on Hardy Spaces
It is shown that multilinear Calderón-Zygmund operators are bounded on products of Hardy spaces.
متن کاملMultilinear Operators on C(k,x) Spaces
Given Banach spaces X, Y and a compact Hausdorff space K, we use polymeasures to give necessary conditions for a multilinear operator from C(K, X) into Y to be completely continuous (resp. unconditionally converging). We deduce necessary and sufficient conditions for X to have the Schur property (resp. to contain no copy of c0), and for K to be scattered. This extends results concerning linear ...
متن کاملOn multilinear operators commuting with Lie derivatives
Let E 1, . . . , Ek and E be natural vector bundles defined over the category Mf m of smooth oriented m–dimensional manifolds and orientation preserving local diffeomorphisms, with m ≥ 2. Let M be an object of Mf m which is connected. We give a complete classification of all separately continuous k–linear operators D : Γc(E1M) × . . . × Γc(EkM) → Γ(EM) defined on sections with compact supports,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SCIENTIA SINICA Mathematica
سال: 2020
ISSN: 1674-7216
DOI: 10.1360/ssm-2020-0177