A variation norm Carleson theorem for vector-valued Walsh–Fourier series
نویسندگان
چکیده
منابع مشابه
A Variation Norm Carleson Theorem
By a standard approximation argument it follows that S[f ] may be meaningfully defined as a continuous function in ξ for almost every x whenever f ∈ L and the a priori bound of the theorem continues to hold for such functions. Theorem 1.1 is intimately related to almost everywhere convergence of partial Fourier sums for functions in L[0, 1]. Via a transference principle [12], it is indeed equiv...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2014
ISSN: 0213-2230
DOI: 10.4171/rmi/804