On the theorem of F. Riesz in variable Lebesgue space
نویسندگان
چکیده
منابع مشابه
The Sampling Theorem in Variable Lebesgue Spaces
hold. The facts above are well-known as the classical Shannon sampling theorem initially proved by Ogura [10]. Ashino and Mandai [1] generalized the sampling theorem in Lebesgue spaces L0(R) for 1 < p0 < ∞. Their generalized sampling theorem is the following. Theorem 1.1 ([1]). Let r > 0 and 1 < p0 < ∞. Then for all f ∈ L 0(R) with supp f̂ ⊂ [−rπ, rπ], we have the norm inequality C p r ‖f‖Lp0(Rn...
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ژورنال
عنوان ژورنال: Transactions of A. Razmadze Mathematical Institute
سال: 2016
ISSN: 2346-8092
DOI: 10.1016/j.trmi.2016.02.002