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1
Content available remote

Boundedness criterion for multilinear oscillatory integrals with rough kernels

100%
Chen W., Lu S.
Studia Mathematica
|
2004
|
tom 165
|
nr 3
201-214
EN
We study a multilinear oscillatory integral with rough kernel and establish a boundedness criterion.
2
Content available remote

Transference and restriction of maximal multiplier operators on Hardy spaces

100%
Liu Z., Lu S.
Studia Mathematica
|
1993
|
tom 105
|
nr 2
121-134
EN
The aim of this paper is to establish transference and restriction theorems for maximal operators defined by multipliers on the Hardy spaces $H^p(ℝ^n)$ and $H^p(𝕋^n)$, 0 < p ≤ 1, which generalize the results of Kenig-Tomas for the case p > 1. We prove that under a mild regulation condition, an $L^∞(ℝ^n)$ function m is a maximal multiplier on $H^p(ℝ^n)$ if and only if it is a maximal multiplier on $H^p(𝕋^n)$. As an application, the restriction of maximal multipliers to lower dimensional Hardy spaces is considered.
3
Content available remote

Some non-homogeneous Hardy spaces on locally compact Vilenkin groups

100%
Lu S., Yang D.
Colloquium Mathematicum
|
1996
|
tom 69
|
nr 1
1-17
4
Content available remote

Boundedness of commutators of an oscillatory integral operator

100%
Xia X., Lu S.
Studia Mathematica
|
2008
|
tom 186
|
nr 1
15-27
EN
We obtain a necessary and sufficient condition for $L^{p}$ boundedness of commutators of certain oscillatory integral operators and Lipschitz functions.
5
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Some new Hardy spaces on locally compact Vilenkin groups

100%
Lu S., Yang D.
Colloquium Mathematicum
|
1993
|
tom 65
|
nr 1
117-138
6
Content available remote

The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space

100%
Lu S., Yang D.
Studia Mathematica
|
1991-1992
|
tom 101
|
nr 3
285-298
EN
We give a Littlewood-Paley function characterization of a new Hardy space HK₂ and its φ-transform characterizations in M. Frazier & B. Jawerth's sense.
7
Content available remote

On weighted weak type norm inequalities for one-sided oscillatory singular integrals

81%
Fu Z., Lu S., Sato S., Shi S.
Studia Mathematica
|
2011
|
tom 207
|
nr 2
137-151
EN
We consider one-sided weight classes of Muckenhoupt type and study the weighted weak type (1,1) norm inequalities for a class of one-sided oscillatory singular integrals with smooth kernel.
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