EXPLICIT INTERPOLATION BOUNDS BETWEEN HARDY SPACE AND
نویسندگان
چکیده
منابع مشابه
Explicit Interpolation Bounds between Hardy Space and L
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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Hardy-Sobolev spaces and interpolation N. Badr Institut Camille Jordan Université Claude Bernard Lyon 1 UMR du CNRS 5208 F-69622 Villeurbanne Cedex [email protected] F. Bernicot Laboratoire de Mathématiques Université de Paris-Sud UMR du CNRS 8628 F-91405 Orsay Cedex [email protected] October 19, 2010 Abstract The purpose of this work is to describe an abstract theory of Ha...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2013
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788713000244