Vilenkin-Fourier series in variable Lebesgue spaces
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Publication:6140266
DOI10.7153/mia-2023-26-60arXiv2210.11331OpenAlexW4388942526MaRDI QIDQ6140266
Daviti Adamadze, Tengiz Kopaliani
Publication date: 19 January 2024
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.11331
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Cites Work
- Unnamed Item
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- On the \(A_\infty\) conditions for general bases
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Lebesgue and Sobolev spaces with variable exponents
- On generalized Walsh Fourier series
- On \(L^p\)-norm convergence of series with respect to product systems
- Infimal convolution and Muckenhoupt \(A_{p(\cdot)}\) condition in variable \(L^p\) spaces
- On some questions related to the maximal operator on variable 𝐿^{𝑝} spaces
- Weighted norm inequalities for maximal functions and singular integrals
- A Weighted Norm Inequality for Vilenkin-Fourier Series
- Mean Convergence of Generalized Walsh-Fourier Series
- Weighted Norm Inequalities for Vilenkin-Fourier Series
- Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
- Weighted Norm Inequalities for the Hardy Maximal Function
- The equivalence of two conditions for weight functions
- Variable martingale Hardy spaces and their applications in Fourier analysis