On the Bi-carleson Operator I. the Walsh Case
نویسندگان
چکیده
We prove L estimates for the Walsh model of the maximal bi-Carleson operator defined below. The corresponding estimates for the Fourier model will be obtained in the sequel [20] of this paper.
منابع مشابه
The Bi-carleson Operator
We prove L estimates (Theorem 1.3) for the Bi-Carleson operator defined below. The methods used are essentially based on the treatment of the Walsh analogue of the operator in the prequel [11] of this paper, but with additional technicalities due to the fact that in the Fourier model one cannot obtain perfect localization in both space and frequency.
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