全能 发表于 2025-3-28 16:00:11

Operators on ,,,We introduce several important operators on .. and give easy estimates to them. As for the definitions of ., . and г(., δ) recall Section 0. Recall that {the volume of the unit ball in ..} = ..

adhesive 发表于 2025-3-28 20:55:08

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nurture 发表于 2025-3-28 23:59:43

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可商量 发表于 2025-3-29 06:57:27

Hardy-Littlewood-Fefferman-Stein type inequalities, 1,Theorem 6.A . Let . ∈ {2,3,4, …} and . > 0. Let . (z) be a harmonic function defined on the unit ball of ... Then

CANE 发表于 2025-3-29 08:55:29

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易改变 发表于 2025-3-29 11:39:41

Hardy-Littlewood-Fefferman-Stein type inequalities, 3,(You can skip this section if you are not interested in Section 10.) Theorem 8.1.

tympanometry 发表于 2025-3-29 18:23:18

,Good λ inequalities for nontangential maximal functions and ,-functions of harmonic functions,For a harmonic function .) on .+., let .δ. be as in (0.2) and let.where ∇ = (..,…,..). We will show the following precise relations between .δ. and .δ (.|∇.|).

机制 发表于 2025-3-29 22:32:29

A direct proof of ,,where . (In (12.3), .) denotes the Poisson kernel.) Since . dominates . by (10.19), (12.1) follows from Lemma 2.2 (with . = 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 ..-BMO duality theorem. (Another one of the oldest proofs will be explained in Section 19.)

Negligible 发表于 2025-3-30 01:52:25

A direct proof of,, where . is defined by (12.3) and . Since . dominates . by Theorems 4.1 and 9.3, we have already obtained (13.1). In this section, we give a direct proof of (13.1) by modifying the argument of L. Carleson and by using the ideas in .. Th. Varopoulos , P. W. Jones and J. B. Garnett-P. W. Jones .

CULP 发表于 2025-3-30 05:44:39

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查看完整版本: Titlebook: Hardy Spaces on the Euclidean Space; Akihito Uchiyama Book 2001 Springer Japan 2001 Dimension.Hardy Spaces.bounded mean oscillation.maximu