A note on the strong summability of two-dimensional Walsh–Fourier series
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George Tephnadze
Abstract
In this paper, we investigate the strong summability of two-dimensional Walsh–Fourier series obtained in [F. Weisz, Strong convergence theorems for two-parameter Walsh–Fourier and trigonometric-Fourier series, Studia Math. 117 1996, 2, 173–194] (see Theorem W) and prove the sharpness of this result.
Funding source: Shota Rustaveli National Science Foundation
Award Identifier / Grant number: YS-18-043
Funding statement: The research was supported by Shota Rustaveli National Science Foundation grant YS-18-043.
References
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Artikel in diesem Heft
- Frontmatter
- On “On derivations and commutativity of prime rings with involution”
- Some properties of rings and near-rings with derivations and generalized derivations
- Complex interpolation of the predual of Morrey spaces over measure spaces
- Meromorphic functions sharing unique range sets with one or two elements
- Menger algebras of k-commutative n-place functions
- Steklov eigenvalue problem with a-harmonic solutions and variable exponents
- Singular integral operators in some variable exponent Lebesgue spaces
- Asymptotic relations involving 𝑑-orthogonal polynomials
- BMO-type estimates of Riesz transforms associated with generalized Schrödinger operators
- On zero-divisors of semimodules and semialgebras
- Two weak solutions for some Kirchhoff-type problem with Neumann boundary condition
- On the lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse
- On the classification of endomorphisms on infinite-dimensional vector spaces
- Asymptotic normality of sums of Hilbert space valued random elements
- A version of Hake’s theorem for Kurzweil–Henstock integral in terms of variational measure
- A note on the strong summability of two-dimensional Walsh–Fourier series
- On the theory and practice of thin-walled structures
Artikel in diesem Heft
- Frontmatter
- On “On derivations and commutativity of prime rings with involution”
- Some properties of rings and near-rings with derivations and generalized derivations
- Complex interpolation of the predual of Morrey spaces over measure spaces
- Meromorphic functions sharing unique range sets with one or two elements
- Menger algebras of k-commutative n-place functions
- Steklov eigenvalue problem with a-harmonic solutions and variable exponents
- Singular integral operators in some variable exponent Lebesgue spaces
- Asymptotic relations involving 𝑑-orthogonal polynomials
- BMO-type estimates of Riesz transforms associated with generalized Schrödinger operators
- On zero-divisors of semimodules and semialgebras
- Two weak solutions for some Kirchhoff-type problem with Neumann boundary condition
- On the lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse
- On the classification of endomorphisms on infinite-dimensional vector spaces
- Asymptotic normality of sums of Hilbert space valued random elements
- A version of Hake’s theorem for Kurzweil–Henstock integral in terms of variational measure
- A note on the strong summability of two-dimensional Walsh–Fourier series
- On the theory and practice of thin-walled structures
