scholarly journals Erratum to: Atomic Decomposition of Hardy Spaces and Characterization of BMO Via Banach Function Spaces

2019 ◽  
Vol 45 (4) ◽  
pp. 855-856
Author(s):  
K.-P. Ho
Keyword(s):  
Hardy Spaces ◽  
Atomic Decomposition ◽  
Function Spaces ◽  
Banach Function Spaces

scholarly journals Littlewood-Paley spaces

2011 ◽  
Vol 108 (1) ◽  
pp. 77 ◽  
Author(s):  
Kwok-Pun Ho
Keyword(s):  
Hardy Spaces ◽  
Orlicz Spaces ◽  
Morrey Spaces ◽  
Function Spaces ◽  
Unified Framework ◽  
Lebesgue Spaces ◽  
Banach Function Spaces

We introduce the Littlewood-Paley spaces in which the Lebesgue spaces, the Hardy spaces, the Orlicz spaces, the Lorentz-Karamata spaces, the r.-i. quasi-Banach function spaces and the Morrey spaces reside. The Littlewood-Paley spaces provide a unified framework for the study of some important function spaces arising in analysis.

Hardy spaces for ball quasi-Banach function spaces

2017 ◽  
Vol 525 ◽  
pp. 1-102 ◽  
Author(s):  
Yoshihiro Sawano ◽  
Kwok-Pun Ho ◽  
Dachun Yang ◽  
Sibei Yang
Keyword(s):  
Hardy Spaces ◽  
Function Spaces ◽  
Banach Function Spaces

scholarly journals The Boundedness of Some Integral Operators on Weighted Hardy Spaces Associated with Schrödinger Operators

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Hua Wang
Keyword(s):  
Integral Operator ◽  
Hardy Spaces ◽  
Fractional Integral ◽  
Atomic Decomposition ◽  
Integrable Function ◽  
Integral Operators ◽  
Weighted Hardy Spaces ◽  
Imaginary Power ◽  
Locally Integrable Function

LetL=-Δ+Vbe a Schrödinger operator acting onL2(Rn),n≥1, whereV≢0is a nonnegative locally integrable function onRn. In this paper, we will first define molecules for weighted Hardy spacesHLp(w)  (0<p≤1)associated withLand establish their molecular characterizations. Then, by using the atomic decomposition and molecular characterization ofHLp(w), we will show that the imaginary powerLiγis bounded onHLp(w)forn/(n+1)<p≤1, and the fractional integral operatorL-α/2is bounded fromHLp(w)toHLq(wq/p), where0<α<min{n/2,1},n/(n+1)<p≤n/(n+α), and1/q=1/p-α/n.

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