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Embedding Theorems for Holder Classes Defined on p-Adic Linear Spaces

被引：0
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作者：
Volosivets, S. S. [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Fac Mech & Math, Astrakhanskaya Str 83, Saratov 410012, Russia
来源：
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2020年 / 12卷 / 01期
关键词：
Ul'yanov type embedding theorem; p-adic Lebesgue space; p-adic Holder space; sharpness; APPROXIMATION; HARDY;
D O I：
10.1134/S2070046620010069
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove analogues of P. L. Ul'yanov and V. A. Andrienko results concerning embeddings of L-q Holder spaces into Lebesgue spaces L (R) or L (R) Holder spaces in the case 1 <= q < r <= 2 for functions defined on p-adic linear spaces. The conditions presented in these theorems are sharp. Also we give necessary and sufficient conditions for such embeddings in the case 1 <= q < r < infinity that generalize recent results of S. S. Platonov.
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页码：60 / 67
页数：8
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