Some conditions implying $BLO$, $VMO$, boundedness and continuity |
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| Author |
leonchik@ukr.net
National University of Odesa, ,Dvoryanskaya, 2, 65026 Odesa, Ukraine
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| Abstract |
In this paper we consider some local characteristics of
functions. Namely, we give conditions implying $BLO$, $VMO$,
boundedness and continuity for functions which are
integrable on a cube.
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| Keywords |
local characteristics, functions, conditions implying $BLO$, $VMO$, continuity, integrable on a cube
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| DOI |
doi:10.30970/ms.20.1.27-32
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Reference |
1. M. Franciosi, A condition implying boundedness and $VMO$ for a function $f$, Studia math. 123 (2) (1997), 109--116.
2. R. R. Coifman, R. Rochberg, Another characterization of $BMO$, Proc. Amer. Math. Soc., 79 (1980), 249--254. 3. D. Sarason, Functions of vanishing mean oscillation, Trans. Amer. Math. Soc. 207 (1975), 391–405. 4. Дж. Б. Гарнетт, Ограниченные аналитические функции, Москва, 1984, 469 с. 5. Ш. де ля Валле-Пуссен, Курс анализа бесконечно малых. Т.1., Петроград, 1922, 488 с. |
| Pages |
27-32
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| Volume |
20
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| Issue |
1
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| Year |
2003
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| Journal |
Matematychni Studii
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| Full text of paper | |
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