A Cauchy type condition and integrability
نویسندگان
چکیده
منابع مشابه
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نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.
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Hardy Spaces Generated by an Integrability Condition
S. A. Telyakovskiı̆ (1964, Izv. Akad. Nauk. SSR. Ser. Mat. 28, 1209–1236) proved an integrability condition for cosine series. No condition superior to that has been given so far. In this paper we identify the atomic structure of the Hardy type space that can be associated with this condition. As a consequence, we conclude that Telyakovskiı̆’s condition is equivalent to certain Sidon type inequal...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1981
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1981.101741