Some new restricted maximal operators of Fejér means of Walsh-Fourier series in the space $H_{1/2}$ Article Swipe
Related Concepts
Mathematics
Fourier series
Subspace topology
Martingale (probability theory)
Hardy space
Bounded function
Space (punctuation)
Maximal operator
Combinatorics
Series (stratigraphy)
Fourier transform
Pure mathematics
Mathematical analysis
Statistics
Philosophy
Linguistics
Paleontology
Biology
Davit Baramidze
,
Lars‐Erik Persson
,
George Tephnadze
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2302.12997
· OA: W4322716535
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2302.12997
· OA: W4322716535
In this paper we derive the maximal subspace of natural numbers $\left\{n_{k}:k\geq 0\right\}$, such that the restricted maximal operator, defined by $\sup_{k\in \mathbb{N}}\left\vert σ_{n_{k}}F \right\vert$ on this subspace of Fejér means of Walsh-Fourier series is bounded from the martingale Hardy space $H_{1/2}$ to the Lebesgue space $L_{1/2}$. The sharpness of this result is also proved.
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