On the compactness criterion in generalized Hölder spaces
1 Department of Mathematics, Zaporizhzhia National Technical University, Zaporizhzhia, 69063, Ukraine
Keywords:
Hölder spaces, compactness
Abstract
Necessary and sufficient conditions for compactness of sets in generalized Hölder spaces of two variables functions which defined on closed Lyapunov contours, are established. The conditions are formulated in terms of moduli of continuity which are structure characteristics of the mentioned spaces.
Cite
- ACS Style
- Snizhko , N.V. On the compactness criterion in generalized Hölder spaces. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Snizhko NV. On the compactness criterion in generalized Hölder spaces. Bukovinian Mathematical Journal. 2018; 1(314).
- Chicago/Turabian Style
- Natalia Viktorivna Snizhko . 2018. "On the compactness criterion in generalized Hölder spaces". Bukovinian Mathematical Journal. 1 no. 314.
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