Differential and integral operations in hidden spherical symmetry and the dimension of the Koch curve

DOI10.1134/S0001434623030227MaRDI QIDQ2699789

E. L. Sanina, Lev N. Lyakhov

Publication date: 19 April 2023

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

self-similarityLaplace operatorHausdorff dimensionfractal dimensionKoch curvefractalfractional dimensionintegral measuregenerations of Koch curveHausdorff-Besikovich dimensionKipriyanov operatorLaplace-Bessel-Kipriyanov operatorsingular differential Bessel operator

Mathematics Subject Classification ID

Dynamical systems over complex numbers (37Fxx) Classical measure theory (28Axx) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11Kxx)

Related Items (2)

Composition and commutator of singular \(\mathbf{J}\)-pseudodifferential Kipriyanov operators in \(\mathbb{R}_N \) ⋮ Fundamental solution of a singular Bessel differential operator with a negative parameter

Cites Work

• Kipriyanov-Beltrami operator with negative dimension of the Bessel operators and the singular Dirichlet problem for the \(B \)-harmonic equation
• The construction of Dirichlet and de la Vallée-Poussin–Nikol’skiĭ kernels for $\mathrm {j}$-Bessel Fourier integrals
• A survey on fractal dimension for fractal structures
• Partial integral operators of non-negative ordersin weighted Lebesgue spaces
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