Endpoint estimates for commutators of mutilinear square function satisfying some integrable condition
نویسندگان
چکیده
منابع مشابه
Noncommutative jordan algebras with commutators satisfying an alternativity condition.
The theorems of this paper show that the main results in the structure and representation theory of Jordan algebras and of alternative algebras are valid for a larger class of algebras defined by simple identities which obviously hold in the Jordan and alternative cass. A new unification of the Jordan and associative theories is also achieved.
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Let T be a singular integral operator with its kernel satisfying |K(x - y) - ∑(k=1)(ℓ) Bk (x)ϕk(y)| ≤ C| y| (γ)/|x - y| (n+γ), |x | > 2| y| > 0, where B(k) and ϕk (k = 1,…, ℓ) are appropriate functions and γ and C are positive constants. For b = b1'...,bm) with bj ∈ BMO(ℝ(n)), the multilinear commutator Tb generated by T and b is formally defined by T(b)ƒ(x) = ∫(ℝn)[∏(j=1)(m) (b(j)(x) - b(j)(y...
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ژورنال
عنوان ژورنال: The Journal of Nonlinear Sciences and Applications
سال: 2017
ISSN: 2008-1898,2008-1901
DOI: 10.22436/jnsa.010.09.26