Some new Hardy spaces $L^2H_{R}^{q}(ℝ_{+}^2 × ℝ_{+}^2)$ (0 < q ≤ 1)

Dachun Yang

ArticleOriginal scientific text

Title

Some new Hardy spaces $L^{2} H_{R}^{q} (ℝ_{+}^{2} \times ℝ_{+}^{2})$ (0 < q ≤ 1)

Authors ¹

Affiliations

Department of Mathematics, Beijing Normal University, 100875 Beijing, P.R. China

Abstract

For 0 < q ≤ 1, the author introduces a new Hardy space

L^{2} H_{ℝ}^{q} (ℝ_{+}^{2} \times ℝ_{+}^{2})

on the product domain, and gives its generalized Lusin-area characterization. From this characterization, a φ-transform characterization in M. Frazier and B. Jawerth's sense is deduced.

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Title

Some new Hardy spaces L2HRq(ℝ+2×ℝ+2) (0 < q ≤ 1)

Affiliations

Abstract

Bibliography

Some new Hardy spaces $L^{2} H_{R}^{q} (ℝ_{+}^{2} \times ℝ_{+}^{2})$ (0 < q ≤ 1)