Wei Rui-ying
Abstract
In this article, we discuss the fractional Marcinkiewicz integral μΩ,α with rough kernel on Hardy spaces. By the atomic decomposition theorem of Hardy space, and obtain its boundedness from H1 to L n-nα and from Hp to Lq.
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In this article, we discuss the fractional Marcinkiewicz integral μΩ,α with rough kernel on Hardy spaces. By the atomic decomposition theorem of Hardy space, and obtain its boundedness from H1 to L n-nα and from Hp to Lq.
Key concepts: Mathematics, Hardy space, Kernel (algebra), Pure mathematics, Space (punctuation), Mathematical analysis, Fractional calculus, Linguistics