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

100%

Ding Y., Wu X.

Studia Mathematica

2009

tom 195

nr 1

51-86

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

Vector-valued inequalities for the commutators of fractional integrals with rough kernels

81%

Chen Y., Wu X., Liu H.

Studia Mathematica

2014

tom 222

nr 2

97-122

Some conditions implying vector-valued inequalities for the commutator of a fractional integral and a fractional maximal operator are established. The results obtained are substantial improvements and extensions of some known results.

Ograniczanie wyników

2 Studia Mathematica

2 Wu X.

1 Chen Y.

1 Ding Y.

1 Liu H.

1 2014

1 2009

Wyniki wyszukiwania

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

Vector-valued inequalities for the commutators of fractional integrals with rough kernels