Some Criteria For Determining When A Walsh Series is a Walsh-Fourier Series
نویسندگان
چکیده
منابع مشابه
Some criteria for determining when a Walsh Series is a Walsh-Fourier Series
We show that a general Walsh series is the Walsh-Fourier series of a function f ∈ Lp[0, 1] for 1 ≤ p <∞ if and only if its sequence of partial sums contains a relatively weakly compact subsequence. Several other criteria are established for the case where f ∈ LΦ[0, 1], the Orlicz space generated by an N -function Φ. Mathematics subject classification (2000): 42C10, 46E30
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ژورنال
عنوان ژورنال: Quaestiones Mathematicae
سال: 2003
ISSN: 1607-3606,1727-933X
DOI: 10.2989/16073600309486058