Sharp Maximal Function Inequalities Research Articles

BOUNDEDNESS FOR TOEPLITZ TYPE OPERATOR ASSOCIATED WITH SINGULAR INTEGRAL OPERATOR WITH VARIABLE CALDERÓN-ZYGMUND KERNEL

In this paper, we establish sharp maximal function inequalities for the Toeplitz-type operator associated with the singular integral operator with a variable Calderón-Zygmund kernel. As an application, we obtain the boundedness of the operator on Lebesgue, Morrey and Triebel-Lizorkin spaces.

Weighted boundedness for Toeplitz type operator associated to singular integral operator with variable Calderón-Zygmund kernel

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

Weighted inequalities for a general commutator associated to a singular integral operator satisfying a variant of Hörmander’s condition

In this paper, weighted inequalities for a certain general commutator associated to a singular integral operator satisfying a variant of Ho¨ rmander’s condition on Lebesgue spaces are obtained. To do this, some weighted sharp maximal function inequalities for the commutator are proved.

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.

$M^k$-Type Sharp Maximal Function Inequalities and Boundedness for Toeplitz Type Operator Associated to Pseudo-differential Operator

In this paper, we establish the $M^k$-type sharp maximal function inequalities for the Toeplitz type operator associated to the pseudo-differential operator. As an application, we obtain the boundedness of the operator on 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.

Sharp maximal function inequalities and boundedness for commutators related to generalized fractional singular integral operators

In this paper, some sharp maximal function inequalities for the commutators related to certain generalized fractional singular integral operators are proved. As an application, we obtain the boundedness of the commutators on Lebesgue, Morrey and Triebel-Lizorkin spaces.MSC:42B20, 42B25.

Weighted boundedness of a multilinear operator associated to a singular integral operator with general kernels

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

Inequalities and boundedness for commutators related to integral operator with general kernel

In this paper, we establish the sharp maximal function inequalities for the commutators related to some integral operator with general kernel and the and Lipschitz functions. As an application, we obtain the boundedness of the commutators on Lebesgue, Morrey and Triebel-Lizorkin space. The operator includes Littlewood-Paley operators, Marcinkiewicz operators and Bochner-Riesz operator. MSC:42B20, 42B25.

Sharp maximal function inequalities and boundedness for Toeplitz type operator associated to singular integral operator with non-smooth kernel

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

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.

Weighted sharp maximal function inequalities and boundedness of multilinear singular integral operator satisfying a variant of Hörmander’s condition

In this paper, we establish the weighted sharp maximal function inequalities for the multilinear operator associated with the singular integral operator satisfying a variant of Hörmander’s condition. As an application, we obtain the boundedness of the operator on weighted Lebesgue spaces. MSC:42B20, 42B25.

Weighted sharp maximal function inequalities and boundedness of a linear operator associated to a singular integral operator with non-smooth kernel

We establish weighted sharp maximal function inequalities for a linear operator associated to a singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of a commutator on weighted Lebesgue spaces.

Boundedness on Morrey space for Toeplitz type operator associated to singular integral operator with variable Calderón-Zygmund kernel

In this paper, the boundedness of the Toeplitz type operators associated to the singular integral operator with variable Calderon-Zygmund kernel on Morrey spaces is obtained. For this purpose, some M k -type sharp maximal function inequalities for the operators are proved.

Sharp maximal function inequalities and boundedness for Toeplitz type operator related to general fractional integral operators

In this paper, we establish sharp maximal function inequalities for the Toeplitz type operator related to some general fractional integral operators. As an application, we obtain the boundedness of the operator on Lebesgue, Morrey and Triebel-Lizorkin spaces. The operators include Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.

Sharp maximal function inequalities and boundedness for Toeplitz type operator associated to pseudo-differential operator

In this paper, we establish the sharp maximal function inequalities for the Toeplitz type operator associated to the pseudo-differential operator. As an application, we obtain the boundedness of the operator on Lebesgue and Morrey spaces.

Sharp function inequalities and boundness for Toeplitz type operator related to general fractional singular integral operator

We establish some sharp maximal function inequalities for the Toeplitz type operator, which is related to certain fractional singular integral operator with general kernel. These results are helpful to investigate the boundedness of the operator on Lebesgue, Morrey and Triebel-Lizorkin spaces respectively.