中文

On contractive projections in Hardy spaces

泛函分析 2016-08-16 v1 复变函数

摘要

We prove a conjecture of Wojtaszczyk that for 1p<1\leq p<\infty, p2p\neq 2, Hp(\mathbbT)H_p(\mathbbT) does not admit any norm one projections with dimension of the range finite and bigger than 1. This implies in particular that for 1p<1\leq p<\infty, p2p\ne 2, HpH_p does not admit a Schauder basis with constant one.

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引用

@article{arxiv.math/0504294,
  title  = {On contractive projections in Hardy spaces},
  author = {Florence Lancien and Beata Randrianantoanina and Eric Ricard},
  journal= {arXiv preprint arXiv:math/0504294},
  year   = {2016}
}

备注

9 pages, to appear in Studia Mathematica