Results 41 to 50 of about 1,361 (124)
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
Slepian Spatial-Spectral Concentration on the Ball [PDF]
, 2014 We formulate and solve the Slepian spatial-spectral concentration problem on the three-dimensional ball. Both the standard Fourier-Bessel and also the Fourier-Laguerre spectral domains are considered since the latter exhibits a number of practical ...
Kennedy, Rodney A. +2 more
core +2 more sources
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
Zygmund inequality of the conjugate function on Morrey-Zygmund spaces
Demonstratio Mathematica, 2019 We generalize the Zygmund inequality for the conjugate function to the Morrey type spaces defined on the unit circle T. We obtain this extended Zygmund inequality by introducing the Morrey-Zygmund space on T.
Yee Tat-Leung, Ho Kwok-Pun
doaj +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-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
Traces of Besov, Triebel-Lizorkin and Sobolev Spaces on Metric Spaces
Analysis and Geometry in Metric Spaces, 2017 We establish trace theorems for function spaces defined on general Ahlfors regular metric spaces Z. The results cover the Triebel-Lizorkin spaces and the Besov spaces for smoothness indices s < 1, as well as the first order Hajłasz-Sobolev space M1,p(Z).
Saksman Eero, Soto Tomás
doaj +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
θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space
Open Mathematics, 2018 The aim of this paper is to deal with the boundedness of the θ-type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents p(⋅), q(⋅).
Yang Yanqi, Tao Shuangping
doaj +1 more source