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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 3

Weighted boundedness for Toeplitz type operator associated to singular integral operator with variable Calderón-Zygmund kernel

Dazhao CHEN
Pages
657–668
Publication Date
2019-06-15
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we establish the weighted sharp maximal function inequalities for the Toeplitz type operator associated to the singular integral operator with variable Calderón- Zygmund kernel.
📊
Key Findings & Data:In this paper, we establish the weighted sharp maximal function inequalities for the Toeplitz type operator associated to the singular integral operator with variable Calderón- Zygmund kernel.
💡
Conclusion & Impact:As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Toeplitz type operator · singular integral operator · sharp maximal function

Abstract

In this paper, we establish the weighted sharp maximal function inequalities for the Toeplitz type operator associated to the singular integral operator with variable Calderón- Zygmund kernel. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.

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Cite This Article

CHEN, D. (2019). Weighted boundedness for Toeplitz type operator associated to singular integral operator with variable Calderón-Zygmund kernel. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 3, 657–668. https://ajindex.com/articles/669356

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