Results 21 to 30 of about 3,646,213 (202)

On the Localization of the Riesz Means of Multiple Fourier Series of Distributions

open access: yesAbstract and Applied Analysis, 2011
We study special partial sums of multiple Fourier series of distributions. We obtain sufficient conditions of summation of Riesz means of Fourier expansions of distributions with compact support.
A. A. Rakhimov
doaj   +1 more source

Symmetric Besov-Bessel Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this paper we introduce the symmetric Besov-Bessel spaces. Next, we give a Sonine formula for generalized Bessel functions. Finally, we give a characterization of these spaces using the Bochner-Riesz means.
Houissa Khadija, Sifi Mohamed
doaj   +1 more source

On Null-Continuity of Monotone Measures

open access: yesMathematics, 2020
The null-continuity of monotone measures is a weaker condition than continuity from below and possesses many special properties. This paper further studies this structure characteristic of monotone measures.
Jun Li
doaj   +1 more source

Generalized Bochner-Riesz means on spaces generated by smooth blocks [PDF]

open access: yes, 2003
summary:We investigate generalized Bochner-Riesz means at the critical index on spaces generated by smooth blocks and give some approximation ...
Wang, Jincai
core   +1 more source

Summation by riesz means of the fourier-laplace series [PDF]

open access: yes, 2018
In this work, weinvestigate conditions for summability of the Fourier-Laplace series of integrable functions by Riesz means. The kernel of Riesz means is estimated through comparison with the Cesaro means.
Akhmedov, Anvarjon   +2 more
core   +1 more source

On the domain of Riesz mean in the space Ls

open access: yesFilomat, 2017
Let 0 < s < ?. In this study, we introduce the double sequence space Rqt(Ls) as the domain of four dimensional Riesz mean Rqt in the space Ls of absolutely s-summable double sequences. Furthermore, we show that Rqt(Ls) is a Banach space and a barrelled space for 1 ? s < 1 and is not a barrelled space for 0 < s < 1.
Yeşilkayagil, Medine, Başar F.
openaire   +3 more sources

Weighted inequalities for the Bochner–Riesz means related to the Fourier–Bessel expansions [PDF]

open access: yes, 2007
We prove weighted inequalities for the Bochner–Riesz means for Fourier–Bessel series with more general weights w(x) than previously considered power weights.
Roncal, Luz   +3 more
core   +1 more source

Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means of order one [PDF]

open access: yes, 2004
Two-weight $L^p$ norm inequalities, uniform with respect to the order of the involved Bessel function, are proved for the Bochner-Riesz means of the first order for the Hankel transform. Both sufficient and necessary conditions for parameters used in the
Stempak, Krzysztof   +5 more
core   +1 more source

Bochner-Riesz means on Euclidean spaces

open access: yes, 2013
This book mainly deals with the Bochner-Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner-Riesz means and important achievements attained in the
Lu, Shanzhen   +3 more
core   +1 more source

Almost Everywhere Convergence of Riesz Means Related to Schrödinger Operator with Constant Magnetic Fields

open access: yesAbstract and Applied Analysis, 2013
We study almost everywhere convergence for Riesz means related to Schrödinger operator with constant magnetic fields. Through researching the weighted norm estimates for the maximal operator with power-weight functions, we obtain the desired result ...
Liurui Deng, Bolin Ma
doaj   +1 more source

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