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Various characterizations of product Hardy spaces associated to Schrödinger operators

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Abstract

For every i = 1, 2, we let \(L_i = - \Delta _{n_i } + V_i\) be a Schrödinger operator on \(\mathbb{R}^{n_i }\) in which \(V_i \in L_{loc}^1 (\mathbb{R}^{n_i } )\) is a non-negative function on \(\mathbb{R}^{n_i }\). We obtain some characterizations for functions in the product Hardy space \(H_{L_1 ,L_2 }^1 (\mathbb{R}^{n_1 } \times \mathbb{R}^{n_2 } )\) associated to L 1 and L 2 by using different norms on distinct variables.

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Authors and Affiliations

  1. College of Mathematics, Qingdao University, Qingdao, 266071, China

    SuYing Liu & Kai Zhao

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  1. SuYing Liu
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  2. Kai Zhao
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Correspondence to Kai Zhao.

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Liu, S., Zhao, K. Various characterizations of product Hardy spaces associated to Schrödinger operators. Sci. China Math. 58, 2549–2564 (2015). https://doi.org/10.1007/s11425-015-5071-8

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  • DOI: https://doi.org/10.1007/s11425-015-5071-8

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