A Weak L 2 Estimate for a Maximal Dyadic
نویسنده
چکیده
Lacey and Thiele have recently obtained a new proof of Carleson’s theorem on almost everywhere convergence of Fourier series. This paper is a generalization of their techniques (known broadly as time-frequency analysis) to higher dimensions. In particular, a weaktype (2,2) estimate is derived for a maximal dyadic sum operator on R, n > 1. As an application one obtains a new proof of Sjölin’s theorem on weak L estimates for the maximal conjugated Calderón-Zygmund operator on R.
منابع مشابه
A Weak L Estimate for a Maximal Dyadic Sum Operator on R
Lacey and Thiele have recently obtained a new proof of Carleson’s theorem on almost everywhere convergence of Fourier series. This paper is a generalization of their techniques (known broadly as time-frequency analysis) to higher dimensions. In particular, a weaktype (2,2) estimate is derived for a maximal dyadic sum operator on Rn, n > 1. As an application one obtains a new proof of Sjölin’s t...
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