Functions with general monotone Fourier coefficients
AS Belov, MI Dyachenko… - Russian Mathematical …, 2021 - iopscience.iop.org
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Hardy–Littlewood theorems for trigonometric series with general monotone coefficients
M Dyachenko, A Mukanov, S Tikhonov - Studia Mathematica, 2019 - recercat.cat
We study trigonometric series with general monotone coefficients, ie, satisfying∑ k=
n2n∣∣ ak− ak+ 1∣∣≤ C∑ k= n/λλn∣∣ ak∣∣ k, n∈ ℕ, for some C> 0 and λ> 1. For …
n2n∣∣ ak− ak+ 1∣∣≤ C∑ k= n/λλn∣∣ ak∣∣ k, n∈ ℕ, for some C> 0 and λ> 1. For …
The Boas problem on Hankel transforms
A Debernardi - Journal of Fourier Analysis and Applications, 2019 - Springer
Norm equivalences between a function and its Hankel transform are studied both in the
context of weighted Lebesgue spaces with power weights, and in Lorentz spaces. Boas-type …
context of weighted Lebesgue spaces with power weights, and in Lorentz spaces. Boas-type …
Smoothness and asymptotic properties of functions with general monotone Fourier coefficients
MI Dyachenko, SY Tikhonov - Journal of Fourier Analysis and Applications, 2018 - Springer
In this paper we study trigonometric series with general monotone coefficients, ie, satisfying
∑\limits _ k= n^ 2n| a_k-a_ k+ 1| ≤ C ∑\limits _ k= n/γ^ γ n| a_k| k,\quad n ∈ N,∑ k= n 2 n …
∑\limits _ k= n^ 2n| a_k-a_ k+ 1| ≤ C ∑\limits _ k= n/γ^ γ n| a_k| k,\quad n ∈ N,∑ k= n 2 n …
Uniform convergence and integrability of Fourier integrals
Firstly, we study the uniform convergence of cosine and sine Fourier transforms. Secondly,
we obtain Pitt–Boas type results on Lp-integrability of Fourier transforms with the power …
we obtain Pitt–Boas type results on Lp-integrability of Fourier transforms with the power …
Uniform convergence of trigonometric series with general monotone coefficients
M Dyachenko, A Mukanov, S Tikhonov - Canadian Journal of …, 2019 - cambridge.org
Uniform Convergence of Trigonometric Series with General Monotone Coefficients Page 1
http://dx.doi.org/. /CJM--©Canadian Mathematical Society Uniform Convergence of …
http://dx.doi.org/. /CJM--©Canadian Mathematical Society Uniform Convergence of …
[HTML][HTML] On summability of Fourier coefficients of functions from Lebesgue space
M Dyachenko, E Nursultanov, A Kankenova - Journal of Mathematical …, 2014 - Elsevier
On summability of Fourier coefficients of functions from Lebesgue space - ScienceDirect Skip to
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[HTML][HTML] Hardy–Littlewood and Pitt's inequalities for Hausdorff operators
In this paper we study transformed trigonometric series with Hausdorff averages of Fourier
coefficients. We prove Hardy–Littlewood and Pitt's inequalities for such series. The …
coefficients. We prove Hardy–Littlewood and Pitt's inequalities for such series. The …
Transformation of Fourier Series by Means of General Monotone Sequences.
AA Jumabayeva, BV Simonov - Mathematical Notes, 2020 - search.ebscohost.com
Transformation of Fourier Series by Means of General Monotone Sequences Page 1 ISSN
0001-4346, Mathematical Notes, 2020, Vol. 107, No. 5, pp. 740–758. © Pleiades Publishing …
0001-4346, Mathematical Notes, 2020, Vol. 107, No. 5, pp. 740–758. © Pleiades Publishing …
[HTML][HTML] Hardy–Littlewood-type theorems for Fourier transforms in Rd
We obtain Fourier inequalities in the weighted L p spaces for any 1< p<∞ involving the
Hardy–Cesàro and Hardy–Bellman operators. We extend these results to product Hardy …
Hardy–Cesàro and Hardy–Bellman operators. We extend these results to product Hardy …