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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 2, Pages 473–479 (Mi smj870)  
On essential $\varphi$-variation

J. Ewert, S. P. Ponomarev

Institute of Mathematics, Pomeranian Pedagogical Academy
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Abstract: We study relations between the classical essential variation and approximate continuity. In particular, we show that the classical essential variation of functions on the so-called $\tau_D$-regular sets agrees with essential variation in the sense of W. P. Ziemer.
Keywords: $\varphi$-variation, essential $\varphi$-variation, metric space, approximate continuity.
Received: 30.12.2004
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 2, Pages 391–396
DOI: https://doi.org/10.1007/s11202-006-0051-4
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: J. Ewert, S. P. Ponomarev, “On essential $\varphi$-variation”, Sibirsk. Mat. Zh., 47:2 (2006), 473–479; Siberian Math. J., 47:2 (2006), 391–396
Citation in format AMSBIB
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\pages 473--479
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\jour Siberian Math. J.
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\pages 391--396
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    		Сибирский математический журнал Siberian Mathematical Journal
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