Taiwanese Journal of Mathematics

Equivalency between the Generalized Carleson Measure Spaces and Triebel-Lizorkin-Type Spaces

Chin-Cheng Lin and Kunchuan Wang

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Abstract

In this note, we show that the homogeneous Triebel-Lizorkin-type spaces $\dot{F}^{\alpha,\tau}_{p,q}$ with four parameters defined in [7, 8] is essentially same as the generalized Carleson measure space $CMO^{\alpha,q}_r$ introduced in [6] with equivalent norms.

Article information

Source
Taiwanese J. Math., Volume 15, Number 2 (2011), 919-926.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500406241

Digital Object Identifier
doi:10.11650/twjm/1500406241

Mathematical Reviews number (MathSciNet)
MR2810188

Zentralblatt MATH identifier
1231.42020

Subjects
Primary: 42B35: Function spaces arising in harmonic analysis

Keywords
Carleson measure spaces Triebel-Lizorkin spaces

Citation

Lin, Chin-Cheng; Wang, Kunchuan. Equivalency between the Generalized Carleson Measure Spaces and Triebel-Lizorkin-Type Spaces. Taiwanese J. Math. 15 (2011), no. 2, 919--926. doi:10.11650/twjm/1500406241. https://projecteuclid.org/euclid.twjm/1500406241


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References

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