Wyniki wyszukiwania

1

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

100%

Chen D.

Colloquium Mathematicum

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2014

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tom 135

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nr 2

149-170

EN

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.

2

Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space

100%

Chen D.

Open Mathematics

|

2015

|

tom 13

|

nr 1

EN

In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved. The general integral operators include singular integral operator with general kernel, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.

3

A Hilbert-type integral inequality with a hybrid kernel and its applications

63%

Liu Q., Chen D.

Colloquium Mathematicum

|

2016

|

tom 143

|

nr 2

193-207

EN

We prove a multi-parameter Hilbert-type integral inequality with a hybrid kernel. We describe the best constant in the inequality in terms of hypergeometric functions. Some equivalent forms of the inequalities are also studied. By specifying parameter values we obtain results proved by other authors as well as many new inequalities.

Ograniczanie wyników

2 Colloquium Mathematicum

1 Open Mathematics

3 Chen D.

1 Liu Q.

1 2016

1 2015

1 2014

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

Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space

A Hilbert-type integral inequality with a hybrid kernel and its applications