Distributional dimension of fractal sets in local fields

1. Triebel, H.: Fractals and spectra: related to Fourier analysis and function spaces, Birkhauser, Basel, 1997

   MATH  Google Scholar 

2. Su, W. Y., Xu, Q.: Function spaces on local fields. Science in China, Series A, Math., 49(1), 66–74 (2006)

   Article  MATH  MathSciNet  Google Scholar 

3. Su, W. Y.: Pseudo-differential operators and derivatives on locally compact Vilenkin groups. Science in China, Series A, 35(7A), 826–836 (1992)

   MATH  Google Scholar 

4. Qiu, H., Su, W. Y.: 3-adic cantor function on local fields and its p-adic derivative. Chaos, Solitons & Fractals

5. Qiu, H., Su, W. Y.: Weierstrass-like functions on local fields and their p-adic derivatives. Chaos, Solitons & Fractals, 28/4, (2006)

6. Qiu, H., Su, W. Y.: Measures and dimensions of fractal sets in local fields. Prog. Nat. Sci., 16(12), 1260–1268 (2006)

   Article  MATH  MathSciNet  Google Scholar 

7. Yang, D. C.: Some Applications of Besov Spaces on Fractals. Acta Mathematica Sinica, English Series, 21(5), 1209–1218 (2005)

   Article  MATH  MathSciNet  Google Scholar 

8. Triebel, H.: Lacunary measures and self-similar probability measures in function space. Acta Mathematica Sinica, English Series, 20(4), 577–588 (2004)

   Article  MATH  MathSciNet  Google Scholar 

9. Triebel, H.: Theory of function spaces, Birkhauser Verlag, Basel, 1983

   Google Scholar 

10. Taibleson, M. H.: Fourier Analysis on Local Fields. Princeton University Press, Princeton, 1975

    MATH  Google Scholar 

11. Onneweer, C. W., Su, W. Y.: Homogeneous Besov spaces on locally compact Vilenkin groups. Studia Mathematica. T., XCIII, 17–39 (1987)

    MathSciNet  Google Scholar 

12. Zhou, G. C., Su, W. Y.: Elementary aspects of B ^s _p,q (K ⁿ) and F ^s _p,q (K ⁿ) spaces. Approx. Theory & Appl., 8(2), 11–28 (1992)

    MathSciNet  Google Scholar 

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