Oscillatory Singular Integrals

1987 ◽  
Vol 133 (1) ◽  
pp. 237-245
Author(s):  
Per Sjölin
Keyword(s):  
Singular Integrals ◽  
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.

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

Sharp bounds for oscillatory singular integrals on Hardy spaces

2017 ◽  
Vol 238 (2) ◽  
pp. 121-132
Author(s):  
Hussain Al-Qassem ◽  
Leslie Cheng ◽  
Yibiao Pan
Keyword(s):  
Hardy Spaces ◽  
Singular Integrals ◽  
Sharp Bounds ◽  
Oscillatory Singular Integrals
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