Wyniki wyszukiwania

1

Weighted norm inequalities on spaces of homogeneous type

100%

Sun Q.

Studia Mathematica

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1991-1992

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tom 101

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nr 3

241-251

EN

We give a characterization of the weights (u,w) for which the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w). We give a characterization of the weight functions w (respectively u) for which there exists a nontrivial u (respectively w > 0 almost everywhere) such that the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w).

2

A remark on multiresolution analysis of $L^{p}(ℝ^{d})$

100%

Sun Q.

Colloquium Mathematicum

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1993

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tom 66

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nr 2

257-264

EN

A condition on a scaling function which generates a multiresolution analysis of $L^p(ℝ^d)$ is given.

3

$L^{p}(ℝⁿ)$ bounds for commutators of convolution operators

51%

Hu G., Sun Q., Wang X.

Colloquium Mathematicum

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2002

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tom 93

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nr 1

11-20

EN

The $L^{p}(ℝⁿ)$ boundedness is established for commutators generated by BMO(ℝⁿ) functions and convolution operators whose kernels satisfy certain Fourier transform estimates. As an application, a new result about the $L^{p}(ℝⁿ)$ boundedness is obtained for commutators of homogeneous singular integral operators whose kernels satisfy the Grafakos-Stefanov condition.

Ograniczanie wyników

2 Colloquium Mathematicum

1 Studia Mathematica

3 Sun Q.

1 Hu G.

1 Wang X.

1 2002

1 1993

1 1992

Weighted norm inequalities on spaces of homogeneous type

A remark on multiresolution analysis of $L^{p}(ℝ^{d})$

$L^{p}(ℝⁿ)$ bounds for commutators of convolution operators