Weighted weak type inqualities for maximal commutators Bochner-Riesz operator
نویسندگان
چکیده
منابع مشابه
Weak Type Estimates of the Maximal Quasiradial Bochner-riesz Operator on Certain Hardy Spaces
LetM be a real-valued n×nmatrix whose eigenvalues have positive real parts. Then we consider the dilation group {At}t>0 in R generated by the infinitesimal generator M , where At = exp(M log t) for t > 0. We introduce At-homogeneous distance functions ̺ defined on R; that is, ̺ : R → [0,∞) is a continuous function satisfying ̺(Atξ) = t̺(ξ) for all ξ ∈ R. One can refer to [3] and [11] for its fundam...
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for some fixed large N0; we shall call such weights admissible. Rubio de Francia [11] showed that for every w ∈ L(R) there is a nonnegative W ∈ L(R) such that ‖W‖2 ≤ Cλ‖w‖2, Cλ < ∞ if λ > 0, and the analogous weighted norm inequality for S t holds uniformly in t. He used methods related to factorization theory of operators and the proof gave no information on how to construct w from W . In [3] ...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 2003
ISSN: 0385-4035
DOI: 10.14492/hokmj/1350652427