Weak-type (1,1) bounds for oscillatory singular integrals with rational phases

2012 ◽  
Vol 210 (1) ◽  
pp. 57-76 ◽  
Author(s):  
Magali Folch-Gabayet ◽  
James Wright
Keyword(s):  
Singular Integrals ◽  
Weak Type ◽  
Oscillatory Singular Integrals

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

2011 ◽  
Vol 207 (2) ◽  
pp. 137-151 ◽  
Author(s):  
Zunwei Fu ◽  
Shanzhen Lu ◽  
Shuichi Sato ◽  
Shaoguang Shi
Keyword(s):  
Singular Integrals ◽  
Weak Type ◽  
Norm Inequalities ◽  
Oscillatory Singular Integrals

Oscillatory singular integral operators with Hölder class kernels on Hardy spaces

2019 ◽  
Vol 31 (2) ◽  
pp. 535-542
Author(s):  
Yibiao Pan
Keyword(s):  
Singular Integral ◽  
Hardy Spaces ◽  
Singular Integrals ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Oscillatory Singular Integral ◽  
Hölder Class ◽  
Holder Class ◽  
Oscillatory Singular Integrals

AbstractA sharp logarithmic bound is established for the {H^{1}}-norm of oscillatory singular integrals with quadratic phases and Hölder class kernels. Prior results had relied on a {C^{1}}-assumption on the kernel.

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