Wyniki wyszukiwania

1

Rough singular integral operators with Hardy space function kernels on a product domain

100%

Ding Y.

Colloquium Mathematicum

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1997

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tom 73

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nr 1

15-23

EN

In this paper we introduce atomic Hardy spaces on the product domain $S^{n-1}×S^{m-1}$ and prove that rough singular integral operators with Hardy space function kernels are $L^p$ bounded on $ℝ^{n} × ℝ^{m}$. This is an extension of some well known results.

2

Littlewood-Paley g-functions with rough kernels on homogeneous groups

63%

Ding Y., Wu X.

Studia Mathematica

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2009

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tom 195

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nr 1

51-86

EN

Let 𝔾 be a homogeneousgroup on ℝⁿ whose multiplication and inverse operations are polynomial maps. In 1999, T. Tao proved that the singular integral operator with Llog⁺L function kernel on ≫ is both of type (p,p) and of weak type (1,1). In this paper, the same results are proved for the Littlewood-Paley g-functions on 𝔾

3

Maximal singular integrals on product homogeneous groups

63%

Ding Y., Sato S.

Studia Mathematica

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2014

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tom 222

|

nr 1

41-49

EN

We prove $L^{p}$ boundedness for p ∈ (1,∞) of maximal singular integral operators with rough kernels on product homogeneous groups under a sharp integrability condition of the kernels.

Ograniczanie wyników

2 Studia Mathematica

1 Colloquium Mathematicum

3 Ding Y.

1 Sato S.

1 Wu X.

1 2014

1 2009

1 1997

Rough singular integral operators with Hardy space function kernels on a product domain

Littlewood-Paley g-functions with rough kernels on homogeneous groups

Maximal singular integrals on product homogeneous groups