Box dimension of harmonic functions on higher dimensional Sierpinski gasket and Sierpinski gasket with bilateral energy

DOI10.1016/J.JMAA.2024.128590MaRDI QIDQ6607352

Srijanani Anurag Prasad, H. Gopalakrishnan

Publication date: 18 September 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

energyharmonic functionsSierpinski gasketbox-counting dimensionhigher-dimensional Sierpinski gasketbilateral energy

Mathematics Subject Classification ID

Functions of one variable (26Axx) Classical measure theory (28Axx) Generalizations of potential theory (31Cxx)

Cites Work

• Title not available (Why is that?)
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• Harmonic analysis on the Sierpiński gasket and singular functions
• On the dimension of the graph of the classical Weierstrass function
• Mean value properties of harmonic functions on Sierpinski gasket type fractals
• The infinite number of generalized dimensions of fractals and strange attractors
• Hausdorff dimension of the graphs of the classical Weierstrass functions
• On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket
• Mean value property of harmonic functions on the tetrahedral Sierpinski gasket
• Analysis on fractals
• Fractal geometry. Mathematical foundations and applications
• Fractional-Wavelet Analysis of Positive definite Distributions and Wavelets on $$\varvec{\mathscr {D'}}(\mathbb {C})$$ D ′ ( C )
• On the Weierstrass-Mandelbrot fractal function
• Harmonic Calculus on P.C.F. Self-Similar Sets
• A harmonic calculus on the Sierpinski spaces
• The Hausdorff dimension of graphs of Weierstrass functions
• Energy partition on fractals
• MEAN VALUE PROPERTY OF HARMONIC FUNCTION ON THE HIGHER-DIMENSIONAL SIERPINSKI GASKET
• Sur une propriété métrique de la dimension
• Irregularity index and spherical densities of the penta-Sierpinski gasket

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