Boundedness Of Multilinear Operators Research Articles

Weighted boundedness of multilinear operator associated to singular integral operator with variable Calderón–Zygmund Kernel

In this paper, we establish the weighted sharp maximal function inequalities for the multilinear operator associated to the singular integral operator with variable Calderon–Zygmund kernel. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.

Weighted boundedness of multilinear operators associated to singular integral operators with non-smooth kernels

In this paper, we establish the weighted sharp maximal function inequalities for a multilinear operator associated to a singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces. MSC:42B20, 42B25.

Boundedness of multilinear operators on generalized Morrey spaces

In this paper, the authors prove the boundedness of the multilinear maximal functions, multilinear singular integrals and multilinear Riesz potential on the product generalized Morrey spaces $\mathcal{M}_{p_1 ,\omega _1 } (\mathbb{R}^n ) \times \cdots \times \mathcal{M}_{p_m ,\omega _1 } (\mathbb{R}^n )$ respectively. The main theorems of this paper extend some known results.

Weighted boundedness of multilinear singular integral operators

In this paper, we establish the weighted sharp maximal function inequalities for the multilinear singular integral operators. As an application, we obtain the boundedness of the multilinear operators on weighted Lebesgue and Morrey spaces. MSC:42B20, 42B25.

The boundedness of multilinear operators on generalized Morrey spaces over the quasi-metric space of non-homogeneous type

In this paper we study the multilinear fractional integral operators, the multilinear Calderon-Zygmund operators and the multi-sublinear maximal operators defined on the quasi-metric space with non-doubling measure. We obtain the boundedness of these operators on the generalized Morrey spaces over the quasi-metric space of non-homogeneous type.

Weighted boundedness of multilinear operators associated to Riesz transforms of Schrödinger operator for the extreme cases

We prove the weighted boundedness properties for the multilinear operators associated to the Riesz transforms of Schrodinger operator for the extreme cases.

On the Boundedness of Multilinear Operators on Weighted Herz-Morrey Spaces

Boundedness of multilinear operators on weighted Herz-Morrey spaces is established in this paper. The weak estimates on endpoints are also derived. As a special case, the conclusions can apply to multilinear Calderón-Zygmund operators.

Sharp and weighted boundedness for multilinear operators associated with pseudo-differential operators on Morrey space

The paper proves some weighted boundedness for the multilinear operators related to some pseudo-differential operators on the generalized Morrey spaces by using the sharp function estimate of the multilinear operators.

The boundedness of multilinear operators of strongly singular integral operators on Hardy spaces

We obtain the boundedness of multilinear operator (BMO) of strongly singular integral operator [Ttilde] A on Lp spaces based on the relation between commutators and multilinear operators. It is found that [Ttilde] A is an (H 1, L 1 )type operator, while T A is not. Supported by the Major State Basic Research Development Program of China (Grant No. G19990751) and the SEDF of China (Grant No. 20010027002)

Boundedness of multilinear operators with rough kernel on Herz spaces

In this paper, the boundedness of the multilinear operators with rough kernel on the Herz-type spaces is discussed. It is proved that MA,Ω,TA,Ω are bounded on Kqa,p(Rn) while MA, Ωλ, are bounded from \(K_{q_1 }^{a,p_1 } \left( {R^n } \right)\) to \(K_{q_2 }^{a,p_2 } \left( {R^n } \right)\), respectively.