Results 21 to 30 of about 5,011,031 (372)
On the Generalized Hardy Spaces [PDF]
Abstract and Applied Analysis, 2010 We introduce new spaces that are extensions of the Hardy spaces and we investigate the continuity of the point evaluations as well as the boundedness and the compactness of the composition operators on these spaces.
openaire +3 more sources
Journal of Function Spaces, 2022 In this paper, we completely characterize the reducing subspaces for Tφa on weighted Hardy space ℋω2D2 under three assumptions on ω, where φa=zk+az¯l, k,l∈ℕ2, k≠l, and a∈0,1.
Changguo Wei, Xin Ding, Yanyue Shi
doaj +1 more source
Density of Analytic Polynomials in Abstract Hardy Spaces [PDF]
, 2017 Let $X$ be a separable Banach function space on the unit circle $\mathbb{T}$ and $H[X]$ be the abstract Hardy space built upon $X$. We show that the set of analytic polynomials is dense in $H[X]$ if the Hardy-Littlewood maximal operator is bounded on the
Karlovich, Alexei Yu.
core +2 more sources
Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces
Journal of Function Spaces, 2020 In this paper, we obtain the sharp bound for fractional conjugate Hardy operator on higher-dimensional product spaces from L1ℝn1×⋯×ℝnm to the space wLQℝn1×⋯×ℝnm and Lpℝn1×⋯×ℝnm to the space Lqℝn1×⋯×ℝnm. More generally, the operator norm of the fractional
Zequn Wang +3 more
doaj +1 more source
Some Inequalities of Hardy Type Related to Witten–Laplace Operator on Smooth Metric Measure Spaces
Mathematics, 2022 A complete Riemannian manifold equipped with some potential function and an invariant conformal measure is referred to as a complete smooth metric measure space.
Yanlin Li +3 more
doaj +1 more source
Orthorecursive expansions generated by the Szego kernel [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 This article considers systems of subspaces of the Hardy space generated by the Szego kernel. The main result of the work is to establish the convergence of orthorecursive expansions with respect to the considered systems of subspaces.
Terekhin, Pavel A.
doaj +1 more source
Some new properties of composition operators associated with lens maps [PDF]
, 2012 We give examples of results on composition operators connected with lens maps. The first two concern the approximation numbers of those operators acting on the usual Hardy space $H^2$.
Lefèvre, Pascal +3 more
core +4 more sources
A Characterization of Central BMO Space via the Commutator of Fractional Hardy Operator
Journal of Function Spaces, 2020 This paper is devoted in characterizing the central BMO ℝn space via the commutator of the fractional Hardy operator with rough kernel. Precisely, by a more explicit decomposition of the operator and the kernel function, we will show that if the symbol ...
Lei Zhang, Shaoguang Shi
doaj +1 more source
Wavelet frame bijectivity on Lebesgue and Hardy spaces [PDF]
, 2012 We prove a sufficient condition for frame-type wavelet series in $L^p$, the Hardy space $H^1$, and BMO. For example, functions in these spaces are shown to have expansions in terms of the Mexican hat wavelet, thus giving a strong answer to an old ...
Bui, H. -Q., Laugesen, R. S.
core +2 more sources
Generalized Hardy–Morrey Spaces [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2017 This paper is an off-spring of the contribution [Z. Anal. Anwend. 36 (2017)(1), 17–35]. We propose a way to consider the decomposition method of generalized Hardy–Morrey spaces. Generalized Hardy–Morrey spaces emerged from generalized Morrey spaces.
Akbulut, Ali +3 more
openaire +4 more sources