The measurability of Hewitt-Stromberg measures and dimensions

키워드

참고문헌 (31)

1. Najmeddine Attia, "Regularities of multifractal Hewitt-Stromberg measures", 대한수학회논문집, 34(1), pp.213~230 (2019), 대한수학회[DOI]
2. N. Attia, "A multifractal formalism for Hewitt-Stromberg measures", J. Geom. Anal, 31(1), pp.825~862 (2021)[DOI]
3. N. Attia, "On the mutual singularity of Hewitt-Stromberg measures", Anal. Math, 47(2), pp.273~283 (2021)[DOI]
4. Z. Douzi, "Projection theorems for Hewitt-Stromberg and modified intermediate dimensions", Results Math, 77(4), pp.158~171 (2022)[DOI]
5. Z. Douzi, "On the mutual singularity of Hewitt-Stromberg measures for which the multifractal functions do not necessarily coincide", Ricerche di Matematica
6. Z. Douzi, "Some regular properties of the Hewitt-Stromberg measures with respect to doubling gauges", Analysis Mathematica
7. G. A. Edgar, "Integral, Probability, and Fractal Measures" (1998), Springer-Verlag
8. "Errata for “Integral, probability, and fractal measures”" (2022)[URL]
9. K. Falconer, "Fractal Geometry" (1990), John Wiley & Sons, Ltd
10. K. J. Falconer, "Fubini-type theorems for general measure constructions", Mathematika, 47(1-2), pp.251~265 (2000)
11. H. Haase, "A contribution to measure and dimension of metric spaces", Math. Nachr, 124, pp.45~55 (1985)[DOI]
12. H. Haase, "Open-invariant measures and the covering number of sets", Math. Nachr, 134, pp.295~307 (1987)[DOI]
13. E. Hewitt, "Real and Abstract Analysis. A modern Treatment of the Theory of Functions of a Real Variable" (1965), Springer-Verlag
14. H. Joyce, "On the existence of subsets of finite positive packing measure", Mathematika, 42(1), pp.15~24 (1995)[DOI]
15. S. Jurina, "On the Hausdorff and packing measures of typical compact metric spaces", Aequationes Math, 92(4), pp.709~735 (2018)[DOI]
16. A. S. Kechris, "Classical Descriptive Set Theory" (1995), Springer-Verlag
17. A. S. Kechris, "Descriptive set theory and the structure of sets of uniqueness, London Mathematical Society Lecture Note Series, 128" (1987), Cambridge University Press
18. J. Li, "Large equivalence of dh-measures", An. S¸tiint¸. Univ. “Ovidius” Constant¸a Ser. Mat, 17(2), pp.95~100 (2009)
19. P. Mattila, "Geometry of sets and measures in Euclidean spaces, Cambridge Studies in Advanced Mathematics, 44" (1995), Cambridge University Press
20. P. Mattila, "Measure and dimension functions : measurability and densities", Math. Proc. Cambridge Philos. Soc, 121(1), pp.81~100 (1997)[DOI]
21. L. Olsen, "Measurability of multifractal measure functions and multifractal dimension functions", Hiroshima Math. J, 29(3), pp.435~458 (1999)[DOI]
22. L. Olsen, "On average Hewitt-Stromberg measures of typical compact metric spaces", Math. Z, 293(3-4), pp.1201~1225 (2019)[DOI]
23. Y. B. Pesin, "Dimension theory in dynamical systems, Chicago Lectures in Mathematics" (1997), University of Chicago Press
24. C. A. Rogers, "Hausdorff Measures" (1970), Cambridge University Press
25. J. Rouyer, "Generic properties of compact metric spaces", Topology Appl, 158(16), pp.2140~2147 (2011)[DOI]
26. Bilel Selmi, "A note on the multifractal Hewitt-Stromberg measures in a probability space", 한국수학논문집, 28(2), pp.323~341 (2020), 강원경기수학회
27. B. Selmi, "A review on multifractal analysis of Hewitt-Stromberg measures", J. Geom. Anal, 32(1), pp.12~55 (2022)[DOI]
28. B. Selmi, "Slices of Hewitt-Stromberg measures and co-dimensions formula", Analysis(Berlin), 42(1), pp.23~39 (2022)[DOI]
29. B. Selmi, "Average Hewitt-Stromberg and box dimensions of typical compact metric spaces", Quaestiones Mathematicae
30. B. Selmi, "On the projections of the multifractal Hewitt-Stromberg dimensions", Filomat, 37(15), pp.4869~4880 (2023)
31. O. Zindulka, "Packing measures and dimensions on Cartesian products", Publ. Mat, 57(2), pp.393~420 (2013)[DOI]

관련 논문AI추천