Commutators of Singular Integral Operators Satisfying a Variant of a Lipschitz Condition
نویسندگان
چکیده
منابع مشابه
Commutators of Singular Integral Operators Satisfying a Variant of a Lipschitz Condition
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...
متن کاملWeighted norm inequalities for singular integral operators satisfying a variant of Hörmander’s condition
In this paper we establish weighted norm inequalities for singular integral operators with kernel satisfying a variant of the classical Hörmander’s condition.
متن کاملLipschitz estimates for commutators of singular integral operators associated with the sections
Let H be Monge-Ampère singular integral operator, [Formula: see text], and [Formula: see text]. It is proved that the commutator [Formula: see text] is bounded from [Formula: see text] to [Formula: see text] for [Formula: see text] and from [Formula: see text] to [Formula: see text] for [Formula: see text]. For the extreme case [Formula: see text], a weak estimate is given.
متن کاملLipschitz Estimates for Commutators of Singular Integral Operators on Weighted Herz Spaces
In this paper, we establish the boundedness of commutators generated by weighted Lipschitz functions and Calderón-Zygmund singular integral operators on weighted Herz spaces.
متن کاملBilinear decompositions and commutators of singular integral operators
Let b be aBMO-function. It is well-known that the linear commutator [b, T ] of a Calderón-Zygmund operator T does not, in general, map continuously H(R) into L(R). However, Pérez showed that if H(R) is replaced by a suitable atomic subspace H b(R ) then the commutator is continuous from H b(R ) into L(R). In this paper, we find the largest subspace H b (R ) such that all commutators of Calderón...
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: The Scientific World Journal
سال: 2014
ISSN: 2356-6140,1537-744X
DOI: 10.1155/2014/641705