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This article is cited in 3 scientific papers (total in 3 papers)
On the inclusion of generalized Hölder classes
M. L. Gol'dman M. V. Lomonosov Moscow State University
Abstract:
For the generalized Hölder classes $B_{p\theta}^{a,\varphi}$ with smoothness functions in the metric of $L_p(R_N)$ we obtain the necessary and sufficient conditions for inclusion. There follows in particular from these conditions a new inclusion theorem with respect to the index $\theta$ of these classes.
Received: 22.06.1971
Citation:
M. L. Gol'dman, “On the inclusion of generalized Hölder classes”, Mat. Zametki, 12:3 (1972), 325–336; Math. Notes, 12:3 (1972), 626–631
Linking options:
https://www.mathnet.ru/eng/mzm9885 https://www.mathnet.ru/eng/mzm/v12/i3/p325
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Abstract page: | 218 | Full-text PDF : | 88 | First page: | 1 |
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