[PDF] Top 20 Weighted boundedness of multilinear operators associated to singular integral operators with non smooth kernels

... the singular integral operators and the weighted BMO and Lipschitz functions on L p (R n ) ( < p < ∞) spaces is obtained (also see ...some singular integral ... See full document

... the boundedness properties of the commutators for the extreme values of p are ...the multilinear commutator of singular integral operators with non-smooth kernels ... See full document

... a multilinear operator, as a non-trivial extension of a commutator, is of great interest in harmonic analysis and has been widely studied by many authors (see ...the weighted boundedness ... See full document

... of multilinear iterated commutators generated by BMO functions and multilin- ear singular integral operators with generalized kernels will be established in Theorem ...the ... See full document

... Kernels K that satisfy the size estimate (.) and Assumption (H) with parameters m, A, s, η, ε are called generalized Calderón-Zygmund kernels, and their collection is denoted by m-GCZK (A, s, η, ε). We ... See full document

... trivial generalization of the commutator. It is well known that commutators and multilin- ear operators are of great interest in harmonic analysis and have been widely studied by many authors (see [–]). The ... See full document

... For multilinear integral operators, the bilinear theory for Calderón-Zygmund opera- tors was studied by Coifman-Meyers [], then, the boundedness on Lebesgue spaces or Hardy spaces for ... See full document

... the weighted bound- edness for some multilinear operators associated to the fractional singular integral oper- ators and the weighted Lipschitz ...the weighted ... See full document

... operators associated to the singular integral operators and strongly singular integral op- erators are introduced, and the boundedness for the operators ... See full document

... Calderón-Zygmund singular integral operator satisfies the con- ditions of Definition  (see [, ]) and that the commutator [b, T ](f ) = bT(f ) – T (bf ) is a particular operator of the multilinear ... See full document

... rough singular integral ...of operators related to the singular integrals for Calder ó n-Zygmund, but lacking the smoothness required in the classical theory, have been ...on weighted L ... See full document

... of singular integral operators and their commutators, multilinear sin- gular integral operators have been well studied (see ...some multilinear operator associated ... See full document

... nonlinear singular integral operators [, ], a family of nonlinear m-singular integral operators [], Fejer-Type singular integrals [], moment type operators ... See full document

... the operators which are bounded on a Lebesgue space are also bounded in an appropriate Morrey space; see ...the boundedness of the fractional multilinear integral operator on Morrey ... See full document

... the boundedness in the context of Triebel-Lizorkin spaces for some multilinear operators related to certain convolution ...Marcinkiewicz integral, and Bochner-Riesz ... See full document

... the boundedness and continuity for the parametric Marcinkiewicz integral operators sup- ported by polynomial compound mappings M ρ h,, P ,ϕ on the Triebel–Lizorkin spaces and Besov ...the ... See full document

... the singular integral operator, the frac- tional integral operator and the commutator of these operators in Morrey spaces have been studied by many authors; see [–] and the references ...the ... See full document

... EM: Multilinear estimates and fractional ...on multilinear maps and ...K: Weighted inequalities for multilinear fractional integral ...Multiple weighted estimates for commutators ... See full document

... the weighted sharp maximal function inequalities for the multilinear operator associated with the singular integral operator satisfying a variant of Hörmander’s ...the ... See full document

... that multilinear operators are of great interest in harmonic analysis and have been widely studied by many authors (see [1, 2, 3, 4, ...the multilinear Marcinkiewicz operators on certain Hardy ... See full document