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In this chapter, we take up the task of developing a Calder´on-Zygmund theory for singular integral operators on uniformly rectifiable sets acting on Beurling-Hardy spaces and on spaces of functions of bounded central mean oscillations. The body of results presented here is applicable to singular integral operators of layer potential type associated with weakly elliptic systems, which will play a crucial role when dealing with boundary problems in subsequent chapters.

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Calderón-Zygmund Theory on Beurling-Hardy Spaces and BCMOp Spaces

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  • 发表日期：

    2026年

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  • Marius Mitrea,
  • Pedro Takemura

摘要

In this chapter, we take up the task of developing a Calder´on-Zygmund theory for singular integral operators on uniformly rectifiable sets acting on Beurling-Hardy spaces and on spaces of functions of bounded central mean oscillations. The body of results presented here is applicable to singular integral operators of layer potential type associated with weakly elliptic systems, which will play a crucial role when dealing with boundary problems in subsequent chapters.