Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces

ZunweiFu; ShanzhenLu; YibiaoPan; ShaoguangShi

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Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces

机译：单边振动积分算子在加权Lebesgue空间上的有界性

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摘要

We consider one-sided weight classes of Muckenhoupt type, but larger than the classical Muckenhoupt classes, and study the boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces using interpolation of operators with change of measures.

机译：我们考虑了Muckenhoupt类型的单边权重类，但比经典Muckenhoupt类大，并且使用带度量变化的算子插值研究了加权Lebesgue空间上单边振荡积分算子的有界性。

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《Abstract and applied analysis》 |2014年第4期|共7页
作者
ZunweiFu; ShanzhenLu; YibiaoPan; ShaoguangShi;
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专利

1. Boundedness of integral operators from weighted Sobolev space to weighted Lebesgue space [J] . Oinarov R. Complex variables and elliptic equations . 2011,第10a11期

机译：积分算子从加权Sobolev空间到加权Lebesgue空间的有界性
2. Boundedness of integral operators from weighted Sobolev space to weighted Lebesgue space [J] . R. Oinarov Complex Variables and Elliptic Equations: An International Journal . 2011,第10a11期

机译：从加权Sobolev空间到加权Lebesgue空间的积分算子的有界性
3. BOUNDEDNESS AND COMPACTNESS IN WEIGHTED LEBESGUE SPACES OF INTEGRAL OPERATORS WITH VARIABLE INTEGRATION LIMITS [J] . R. Oinarov Siberian Mathematical Journal . 2011,第6期

机译：具有可变积分极限的积分算子加权Lebesgue空间的有界性和紧致性
4. Boundedness of Weighted Singular Integral Operators on a Carleson Curve in Grand Lebesgue Spaces [C] . Vakhtang Kokilashvili International Conference on Numerical Analysis and Applied Mathematics . 2010

机译：大烟草曲线上Carleson曲线上加权奇异积分运算符的界限
5. Boundedness of certain oscillatory integrals on weighted L(p) spaces and some results on weighted weak H(p) 0 <= p <= 1. [D] . Zhang, Yan. 1998

机译：加权L（p）空间上某些振荡积分的有界性和加权弱H（p）0 <= p <= 1。
6. INTEGRAL REPRESENTATION OF LINEAR CONTINUOUS OPERATORS FROM THE SPACE OF LEBESGUE-BOCHNER SUMMABLE FUNCTIONS INTO ANY BANACH SPACE [O] . Witold M. Bogdanowicz 1965

机译：线性连续算子从Lebesgue-Bochner可加函数空间到任何Banach空间的积分表示
7. Boundedness of the Weyl fractional integral on one-sided weighted Lebesgue and Lipschitz spaces [O] . Ombrosi S. 2003

机译：Weyl分数积分在单侧加权Lebesgue和Lipschitz空间上的有界性

Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces

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