Abstract
where
(In (12.3), P (x, t) denotes the Poisson kernel.) Since \( \left\| {S_1 \left( {tD_t u} \right)} \right\|_{L^1 } \) dominates \( \left\| f \right\|_{H^1 } \) by (10.19), (12.1) follows from Lemma 2.2 (with p = 1) and Theorem 2.2. In this section, we explain C. Fefferman’s direct proof of (12.1), which is one of the oldest proofs of his H 1-BMO duality theorem. (Another one of the oldest proofs will be explained in Section 19.)
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© 2001 Springer Japan
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Uchiyama, A. (2001). A direct proof of . In: Hardy Spaces on the Euclidean Space. Springer Monographs in Mathematics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-67905-9_13
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DOI: https://doi.org/10.1007/978-4-431-67905-9_13
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-67999-8
Online ISBN: 978-4-431-67905-9
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