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<p>It is well known that the classical Calderón-Zygmund convolution operators are bounded on the classical Besov spaces. A surprising result is that the operators are also bounded on the product Hardy spaces. The key idea is that the cancellation condition plays a crucial role. In this paper, we will prove that the classical Calderón-Zygmund convolution operators are bounded on the flag Besov spaces on the Euclidean space.</p>

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Boundedness of Classical Calderón–Zygmund Convolution Operators on Flag Besov Spaces

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Mengmeng Dou

摘要

It is well known that the classical Calderón-Zygmund convolution operators are bounded on the classical Besov spaces. A surprising result is that the operators are also bounded on the product Hardy spaces. The key idea is that the cancellation condition plays a crucial role. In this paper, we will prove that the classical Calderón-Zygmund convolution operators are bounded on the flag Besov spaces on the Euclidean space.