Singular integrals on spaces of homogeneous type

1976 ◽  
pp. 67-116
Author(s):  
Roe William Goodman
Keyword(s):  
Singular Integrals ◽  
Homogeneous Type ◽  
Spaces Of Homogeneous Type

scholarly journals vector-valued singular integrals and maximal functions on spaces of homogeneous type

2009 ◽  
Vol 104 (2) ◽  
pp. 296 ◽  
Author(s):  
Loukas Grafakos ◽  
Liguang Liu ◽  
Dachun Yang
Keyword(s):  
Singular Integral ◽  
Maximal Function ◽  
Singular Integrals ◽  
Maximal Functions ◽  
Integral Theory ◽  
Homogeneous Type ◽  
Spaces Of Homogeneous Type ◽  
Vector Valued

The Fefferman-Stein vector-valued maximal function inequality is proved for spaces of homogeneous type. The approach taken here is based on the theory of vector-valued Calderón-Zygmund singular integral theory in this context, which is appropriately developed.

Two-Weight Estimates For Singular Integrals Defined On Spaces Of Homogeneous Type

2000 ◽  
Vol 52 (3) ◽  
pp. 468-502 ◽  
Author(s):  
D. E. Edmunds ◽  
V. Kokilashvili ◽  
A. Meskhi
Keyword(s):  
Singular Integrals ◽  
Weak Type ◽  
Homogeneous Type ◽  
Spaces Of Homogeneous Type

AbstractTwo-weight inequalities of strong and weak type are obtained in the context of spaces of homogeneous type. Various applications are given, in particular to Cauchy singular integrals on regular curves.

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