scholarly journals The local sharp maximal function and BMO on locally homogeneous spaces

2017 ◽  
Vol 42 ◽  
pp. 453-472
Author(s):  
Marco Bramanti ◽  
Maria Stella Fanciullo
Keyword(s):  
Maximal Function ◽  
Homogeneous Spaces ◽  
Sharp Maximal Function ◽  
Locally Homogeneous

scholarly journals Local Good-λEstimate for the Sharp Maximal Function and Weighted Morrey Space

2015 ◽  
Vol 2015 ◽  
pp. 1-4 ◽  
Author(s):  
Yasuo Komori-Furuya
Keyword(s):  
Maximal Function ◽  
Morrey Space ◽  
Sharp Maximal Function ◽  
Weighted Morrey Space

We give a characterization of weighted Morrey space by using Fefferman and Stein’s sharp maximal function. For this purpose, we consider a local good-λinequality.

Weighted boundedness for Toeplitz type operator associated to general integral operators

2014 ◽  
Vol 07 (02) ◽  
pp. 1450026
Author(s):  
Lanzhe Liu
Keyword(s):  
Maximal Function ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Type Operator ◽  
Sharp Maximal Function ◽  
Riesz Operator ◽  
Marcinkiewicz Operator ◽  
Bmo Functions ◽  
General Integral ◽  
Toeplitz Type Operator

In this paper, we establish the weighted sharp maximal function estimates for the Toeplitz type operators associated to some integral operators and the weighted Lipschitz and BMO functions. As an application, we obtain the boundedness of the Toeplitz type operators on weighted Lebesgue and Morrey spaces. The operator includes Littlewood–Paley operator, Marcinkiewicz operator and Bochner–Riesz operator.

scholarly journals Local real analysis in locally homogeneous spaces

2011 ◽  
Vol 138 (3-4) ◽  
pp. 477-528 ◽  
Author(s):  
Marco Bramanti ◽  
Maochun Zhu
Keyword(s):  
Homogeneous Spaces ◽  
Real Analysis ◽  
Locally Homogeneous
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