Explicit Interpolation Bounds between Hardy Space and L
نویسنده
چکیده
A bounded linear operator that maps H to L and L to L is bounded from L to L for each p ∈ (1, 2), by a famous interpolation result of Fefferman and Stein. We prove L-norm bounds that grow like O ( 1/(p− 1) ) as p ↓ 1. This growth rate is optimal, and improves significantly on the previously known exponential bound O(21/(p−1)).
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تاریخ انتشار 2012