Boundedness of rough integral operators on Triebel-Lizorkin spaces

H. M. Al-Qassem; L. C. Cheng; Y. Pan

doi:pm/1340127806

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Home > Journals > Publ. Mat. > Volume 56 > Issue 2 > Article

2012 Boundedness of rough integral operators on Triebel-Lizorkin spaces

H. M. Al-Qassem, L. C. Cheng, Y. Pan

Publ. Mat. 56(2): 261-277 (2012).

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Abstract

We prove the boundedness of several classes of rough integral operators on Triebel-Lizorkin spaces. Our results represent improvements as well as natural extensions of many previously known results.

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H. M. Al-Qassem. L. C. Cheng. Y. Pan. "Boundedness of rough integral operators on Triebel-Lizorkin spaces." Publ. Mat. 56 (2) 261 - 277, 2012.

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Published: 2012

First available in Project Euclid: 19 June 2012

zbMATH: 1301.42021

MathSciNet: MR2978324

Subjects:

Primary: 42B20

Secondary: 42B15 , 42B25

Keywords: Marcinkiewicz integral , Oscillatory integral , Rough kernel , singular integral , Triebel-Lizorkin spaces

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Publ. Mat.

Vol.56 • No. 2 • 2012

Universitat Autònoma de Barcelona, Departament de Matemàtiques

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H. M. Al-Qassem, L. C. Cheng, Y. Pan "Boundedness of rough integral operators on Triebel-Lizorkin spaces," Publicacions Matemàtiques, Publ. Mat. 56(2), 261-277, (2012)

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