Results 21 to 30 of about 5,107,062 (367)
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
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
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 +4 more sources
Hardy operators and the commutators on Hardy spaces [PDF]
Journal of Inequalities and Applications, 2020 AbstractIn this paper, the boundedness of the classic Hardy operator and its adjoint on Hardy spaces is obtained. We also discuss the boundedness for the commutators generated by the classic Hardy operator and its adjoint with $BMO$ B M O and $CMO(\mathbb{R}^{+})$ C M O ( R + ) functions on Hardy spaces.
Zhuang Niu, Shasha Guo, Wenming Li
openaire +3 more sources
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
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
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
Herz-Type Hardy Spaces Associated with Operators
Journal of Function Spaces, 2018 Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy ...
Yan Chai, Yaoyao Han, Kai Zhao
doaj +1 more source