REFERENCES
P. Hajlasz, Potential Anal., 5 (1996), 403–415.
P. Hajlasz and P. Koskela, Sobolev Met Poincare, Mem. Amer. Math. Soc., vol. 688, Amer. Math. Soc., Providence, RI, 2000.
J. Heinonen, Lectures on Analysis on Metric Spaces, Springer-Verlag, Berlin, 2001.
V. Gol’dshtein and M. Troyanov, Expo. Math., 19 (2001), no. 4, 289–336.
R. R. Coifman and G. Weiss, Bull. Amer. Math. Soc., 83 (1977), no. 4, 569–645.
D. Yang, Science of China, 46 (2003), no. 5, 1–15.
A. P. Calderon, Studia Math., 44 (1972), 167–186.
R. DeVore and R. Sharpley, Maximal Functions Measuring Local Smoothness, Mem. Amer. Math. Soc., vol. 47, Amer. Math. Soc., Providence, RI, 1984.
V. I. Kolyada, Anal. Math., 25 (1999), 277–300.
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Translated from Matematicheskie Zametki, vol. 77, no. 6, 2005, pp. 937–941.
Original Russian Text Copyright ©2005 by I. A. Ivanishko.
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Ivanishko, I.A. Generalized Sobolev Classes on Metric Measure Spaces. Math Notes 77, 865–869 (2005). https://doi.org/10.1007/s11006-005-0088-x
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DOI: https://doi.org/10.1007/s11006-005-0088-x