Results 41 to 50 of about 1,341 (119)
Generalized weighted Besov spaces on the Bessel hypergroup
Journal of Function Spaces, Volume 4, Issue 1, Page 91-111, 2006., 2006 In this paper we study generalized weighted Besov type spaces on the Bessel‐Kingman hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized translation operators. Also a discrete norm is given to obtain more general properties on these spaces.
Miloud Assal +2 more
wiley +1 more source
Journal of Mathematical Study, 2020 In this paper we prove an O’Neil inequality for the convolution operator (G-convolution) associated with the Gegenbauer differential operator Gλ. By using an O’Neil inequality for rearrangements we obtain a pointwise rearrangement estimate of the G ...
Vagif S. Guliyev sci
semanticscholar +1 more source
Adams’ trace principle in Morrey–Lorentz spaces on β-Hausdorff dimensional surfaces [PDF]
Annales Fennici Mathematici, 2019 In this paper we strengthen to Morrey-Lorentz spaces the famous trace principle introduced by Adams. More precisely, we show that Riesz potential Iα is continuous ‖Iα f‖ M λ∗ q,∞(dμ) . ‖μ‖ 1/q β ‖ f‖Mλp,∞(dν) if and only if the Radon measure dμ supported
M. F. Almeida, Lidiane S. M. Lima
semanticscholar +1 more source
The random Wigner distribution of Gaussian stochastic processes with covariance in S0(ℝ2d)
Journal of Function Spaces, Volume 3, Issue 2, Page 163-181, 2005., 2005 The paper treats time‐frequency analysis of scalar‐valued zero mean Gaussian stochastic processes on ℝd. We prove that if the covariance function belongs to the Feichtinger algebra S0(ℝ2d) then: (i) the Wigner distribution and the ambiguity function of the process exist as finite variance stochastic Riemann integrals, each of which defines a stochastic
Patrik Wahlberg, Hans Feichtinger
wiley +1 more source
Some estimates of Hardy operators and their commutators on Morrey-Herz spaces
, 2017 In this paper, we study the boundedness of p -adic Hardy operators H p and H p,∗ on the p -adic Morrey-Herz space. Furthermore, we establish the Lipschitz estimates for commutators of p -adic Hardy operators H p b and H p,∗ b on the p -adic function ...
G. Gao, Y. Zhong
semanticscholar +1 more source
Open Mathematics, 2020 In this article, we consider the Laplace-Bessel differential operatorΔBk,n=∑i=1k∂2∂xi2+γixi∂∂xi+∑i=k+1n∂2∂xi2,γ1>0,…,γk>0.{\Delta }_{{B}_{k,n}}=\mathop{\sum }\limits_{i=1}^{k}\left(\frac{{\partial }^{2}}{\partial {x}_{i}^{2}}+\frac{{\gamma }_{i}}{{x}_{i}}
Hasanov Javanshir J. +2 more
doaj +1 more source
Hardy-Littlewood-Pólya inequalities and Hausdorff operators on block spaces
, 2016 We establish the Hardy-Littlewood-Pólya inequality, the Hardy inequality and the Hilbert inequality on block spaces. Furthermore, we also have the boundedness of the Hausdorff operators on block spaces.
K. Ho
semanticscholar +1 more source
Variable Anisotropic Hardy Spaces with Variable Exponents
Analysis and Geometry in Metric Spaces, 2021 Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen +3 more
doaj +1 more source
HARDY OPERATORS IN THE LOCAL ``COMPLEMENTARY" GENERALIZED VARIABLE EXPONENT WEIGHTED MORREY SPACES
, 2020 In this paper we consider local “complementary” generalized weighted Morrey spaces M p(·),ω,φ {x0} (Ω) with variable exponent p(x) and a general function ω(r) defining the weighted Morrey-type norm.
Z. O. Azizova
semanticscholar +1 more source
Weighted multilinear p-adic Hardy operators and commutators
Open Mathematics, 2017 In this paper, the weighted multilinear p-adic Hardy operators are introduced, and their sharp bounds are obtained on the product of p-adic Lebesgue spaces, and the product of p-adic central Morrey spaces, the product of p-adic Morrey spaces ...
Liu Ronghui, Zhou Jiang
doaj +1 more source