scholarly journals Singular integrals with flag kernels on homogeneous groups, I

2012 ◽  
Vol 28 (3) ◽  
pp. 631-722 ◽  
Author(s):  
Alexander Nagel ◽  
Fulvio Ricci ◽  
Elias Stein ◽  
Stephen Wainger
Keyword(s):  
Singular Integrals ◽  
Homogeneous Groups ◽  
Flag Kernels

scholarly journals Singular Integrals with Flag Kernels and Analysis on Quadratic CR Manifolds

2001 ◽  
Vol 181 (1) ◽  
pp. 29-118 ◽  
Author(s):  
Alexander Nagel ◽  
Fulvio Ricci ◽  
Elias M Stein
Keyword(s):  
Singular Integrals ◽  
Cr Manifolds ◽  
Flag Kernels

scholarly journals Maximal singular integrals on product homogeneous groups

2014 ◽  
Vol 222 (1) ◽  
pp. 41-49
Author(s):  
Yong Ding ◽  
Shuichi Sato
Keyword(s):  
Singular Integrals ◽  
Homogeneous Groups ◽  
Maximal Singular Integrals

Two-Weighted Inequalities for Integral Operators in Lorentz Spaces Defined on Homogeneous Groups

1999 ◽  
Vol 6 (1) ◽  
pp. 65-82
Author(s):  
V. Kokilashvili ◽  
A. Meskhi
Keyword(s):  
Singular Integrals ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Lorentz Spaces ◽  
Necessary And Sufficient Conditions ◽  
Hardy Operator ◽  
Weighted Inequalities ◽  
Homogeneous Groups ◽  
Necessary And Sufficient

Abstract The optimal sufficient conditions are found for weights, which guarantee the validity of two-weighted inequalities for singular integrals in the Lorentz spaces defined on homogeneous groups. In some particular case the found conditions are necessary for the corresponding inequalities to be valid. Also, the necessary and sufficient conditions are found for pairs of weights, which provide the validity of two-weighted inequalities for the generalized Hardy operator in the Lorentz spaces defined on homogeneous groups.

Multi-parameter Singular Integrals I: Examples

2017 ◽  
Author(s):  
Brian Street
Keyword(s):  
Singular Integral ◽  
Singular Integrals ◽  
Pseudodifferential Operators ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Special Cases ◽  
Stratified Lie Groups ◽  
Left And Right ◽  
Flag Kernels

This chapter discusses a few special cases where a theory of multi-parameter singular integral operators has already been developed. These include the product theory of singular integrals, convolution with flag kernels on graded groups, convolution with both the left and right invariant Calderón–Zygmund singular integral operators on stratified Lie groups, and composition of standard pseudodifferential operators with certain singular integrals corresponding to non-Euclidean geometries. The chapter outlines these examples and their applications and relates them to the trichotomy discussed in Chapter 1.

scholarly journals Singular Integrals on Product Homogeneous Groups

2013 ◽  
Vol 76 (1) ◽  
pp. 55-79
Author(s):  
Yong Ding ◽  
Shuichi Sato
Keyword(s):  
Singular Integrals ◽  
Homogeneous Groups

Boundedness of singular integrals with flag kernels on weighted flag Hardy spaces

2019 ◽  
Vol 302 (2) ◽  
pp. 545-598 ◽  
Author(s):  
Yongsheng Han ◽  
Chin-Cheng Lin ◽  
Xinfeng Wu
Keyword(s):  
Hardy Spaces ◽  
Singular Integrals ◽  
Flag Kernels

Self-monitoring and leadership in culturally heterogeneous and homogeneous groups

2003 ◽  
Author(s):  
Magdalene Hsien Chen Pua ◽  
Lynn R. Offermann ◽  
Catina M. Smith ◽  
Mary Sass ◽  
Craig R. Seal ◽  
...  
Keyword(s):  
Self Monitoring ◽  
Homogeneous Groups
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