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- W2912300286 abstract "$$ left| {smallint _{{text{R}}^n } fleft( x right)gleft( x right)dx} right| leqslant Cleft( n right)left| {S_1 left( {tD_t u} right)} right|_{L^1 } left| g right|_{{text{BMO,}}} $$(12.1)where $$ f,g in L^2 , $$(12.2)$$ uleft( {x,t} right) = smallint _{{text{R}}^n } Pleft( {x - y,t} right)fleft( y right)dy. $$(12.3)(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.)" @default.
- W2912300286 created "2019-02-21" @default.
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- W2912300286 date "2001-01-01" @default.
- W2912300286 modified "2023-10-17" @default.
- W2912300286 title "A direct proof of" @default.
- W2912300286 doi "https://doi.org/10.1007/978-4-431-67905-9_13" @default.
- W2912300286 hasPublicationYear "2001" @default.
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