Abstract
It is known that a translation invariant density differentiation basis B formed of convex sets and its Busemann–Feller extension
References
[1]
M. de Guzmán,
Differentiation of Integrals in
[2] P. Hagelstein and I. Parissis, Tauberian constants associated to centered translation invariant density bases, Fund. Math. 243 (2018), no. 2, 169–177. 10.4064/fm409-2-2018Search in Google Scholar
[3] G. Oniani, On the differentiation of integrals with respect to translation invariant convex density bases, Fund. Math. 246 (2019), no. 2, 205–216. 10.4064/fm613-8-2018Search in Google Scholar
[4] G. G. Oniani and K. A. Chubinidze, Rotation of coordinate system and differentiation of integrals with respect to translation invariant bases (in Russian), Mat. Sb. 208 (2017), no. 4, 51–72; translation in Sb. Math. 208 (2017), no. 3-4, 510–530. Search in Google Scholar
[5] E. M. Stein and N. J. Weiss, On the convergence of Poisson integrals, Trans. Amer. Math. Soc. 140 (1969), 35–54. 10.1090/S0002-9947-1969-0241685-XSearch in Google Scholar
© 2023 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- The second cohomology spaces of 𝒦(1) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on S 1|1
- On completely non-Baire unions in category bases
- Square-free values of n 2 + n + 1
- The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition
- Sign-changing solutions for parametric Neumann problems with broken symmetry and arbitrary growth
- The triharmonic equation on the Heisenberg group
- On Busemann–Feller extensions of translation invariant density differentiation bases
- Multiplicative bi-skew Jordan triple derivations on prime ∗-algebra
- Nonmeasurable products of absolutely negligible sets in uncountable solvable groups
- The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy–Krause variation
- On the stochastic integral representation of Brownian functionals
- Generalized Bessel matrix functions
- Degenerate time-fractional diffusion equation with initial and initial-boundary conditions
- Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution
- 𝐿𝑝(⋅) − 𝐿𝑞(⋅) estimates for convolution operators with singular measures supported on surfaces of half the ambient dimension
- Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras
Articles in the same Issue
- Frontmatter
- The second cohomology spaces of 𝒦(1) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on S 1|1
- On completely non-Baire unions in category bases
- Square-free values of n 2 + n + 1
- The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition
- Sign-changing solutions for parametric Neumann problems with broken symmetry and arbitrary growth
- The triharmonic equation on the Heisenberg group
- On Busemann–Feller extensions of translation invariant density differentiation bases
- Multiplicative bi-skew Jordan triple derivations on prime ∗-algebra
- Nonmeasurable products of absolutely negligible sets in uncountable solvable groups
- The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy–Krause variation
- On the stochastic integral representation of Brownian functionals
- Generalized Bessel matrix functions
- Degenerate time-fractional diffusion equation with initial and initial-boundary conditions
- Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution
- 𝐿𝑝(⋅) − 𝐿𝑞(⋅) estimates for convolution operators with singular measures supported on surfaces of half the ambient dimension
- Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras