Boundedness of area operators on anisotropic Hardy spaces

Changbao Pang, Maofa Wang and Bang Xu

Mathematische Nachrichten, 2024, vol. 297, issue 4, 1550-1569

Abstract: In this paper, we completely characterize the boundedness theory of anisotropic area operators from anisotropic mixed‐norm Hardy spaces Ha⃗p⃗(Rn)$H_{\vec{\mathbf {a}}}^{\vec{p}}(\mathbb {R}^{n})$ into mixed‐norm Lebesgue spaces Lp⃗(Rn)$L^{\vec{p}}(\mathbb {R}^{n})$ in terms of Carleson measures.

Date: 2024
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