scholarly journals Boundedness criterion of Journéʼs class of singular integrals on multiparameter Hardy spaces

2013 ◽  
Vol 264 (5) ◽  
pp. 1238-1268 ◽  
Author(s):  
Yongsheng Han ◽  
Guozhen Lu ◽  
Zhuoping Ruan
Keyword(s):  
Hardy Spaces ◽  
Singular Integrals ◽  
Boundedness Criterion ◽  
Multiparameter Hardy Spaces

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 Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains

1982 ◽  
Vol 50 ◽  
pp. 221 ◽  
Author(s):  
David S. Jerison ◽  
Carlos E. Kenig
Keyword(s):  
Hardy Spaces ◽  
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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