Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces of revolution

2016 ◽  
Vol 59 (9) ◽  
pp. 1721-1736 ◽  
Author(s):  
Yong Ding ◽  
Kôzô Yabuta
Keyword(s):  
Singular Integrals ◽  
Surfaces Of Revolution ◽  
Lizorkin Space

Singular Integrals and Maximal Functions Associated to Surfaces of Revolution

1996 ◽  
Vol 28 (3) ◽  
pp. 291-296 ◽  
Author(s):  
Weon-Ju Kim ◽  
Stephen Wainger ◽  
James Wright ◽  
Sarah Ziesler
Keyword(s):  
Singular Integrals ◽  
Maximal Functions ◽  
Surfaces Of Revolution

Boundedness of singular integrals associated to surfaces of revolution on Triebel–Lizorkin spaces

2016 ◽  
Vol 28 (1) ◽  
Author(s):  
Wenjuan Li ◽  
Zengyan Si ◽  
Kôzô Yabuta
Keyword(s):  
Singular Integral ◽  
Singular Integrals ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Surfaces Of Revolution

AbstractWe establish the Triebel–Lizorkin boundedness for a class of singular integral operators associated to surfaces of revolution,

scholarly journals Rough singular integrals associated to surfaces of revolution

2001 ◽  
Vol 129 (10) ◽  
pp. 2931-2940 ◽  
Author(s):  
Shanzhen Lu ◽  
Yibiao Pan ◽  
Dachun Yang
Keyword(s):  
Singular Integrals ◽  
Surfaces Of Revolution

scholarly journals ESTIMATES FOR SINGULAR INTEGRALS ALONG SURFACES OF REVOLUTION

2009 ◽  
Vol 86 (3) ◽  
pp. 413-430 ◽  
Author(s):  
SHUICHI SATO
Keyword(s):  
Singular Integrals ◽  
Rough Kernels ◽  
Surfaces Of Revolution ◽  
Size Condition ◽  
Trigonometric Integral

AbstractWe prove certain Lp estimates (1<p<∞) for nonisotropic singular integrals along surfaces of revolution. The singular integrals are defined by rough kernels. As an application we obtain Lp boundedness of the singular integrals under a sharp size condition on their kernels. We also prove a certain estimate for a trigonometric integral, which is useful in studying nonisotropic singular integrals.

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