Results 21 to 30 of about 3,993,405 (312)

Real Hardy Spaces and local Hardy Spaces

, 2017
In this paper, we want to see the relationship between the local Hardy spaces (𝑯𝑷 ) and real Hardy spaces (𝒉 𝑷 )and the boundary behavior of functions in the Hardy spaces on the Disc, unit circle and on the Half-plane. We are concerned with Hardy spaces of vector-valued functions on the disk and on the unit circle. This paper will also gives a concrete
Adewinbi, Hezekiah Seun, Peter, Olumuyiwa James   +1 more
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Certain properties of continuous fractional wavelet transform on Hardy space and Morrey space [PDF]

Opuscula Mathematica, 2021
In this paper we define a new class of continuous fractional wavelet transform (CFrWT) and study its properties in Hardy space and Morrey space. The theory developed generalize and complement some of already existing results.
Amit K. Verma, Bivek Gupta
doaj   +1 more source

Fractional differentiation composition operators from Sp spaces to Hq spaces [PDF]

Mathematica Moravica
Let Sp be the space of functions analytic on the unit disk and whose derivatives belong to the Hardy space. In this article, we investigate the boundedness and compactness of the fractional differentiation composition operators from Sp spaces into Hardy ...
Borgohain Deepjyoti
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Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups

Bulletin of Mathematical Sciences, 2020
In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant: ∫ℍ ...
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan   +2 more
doaj   +1 more source

Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1

Journal of Function Spaces, 2023
We study composition-differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self-map of the unit disk such that the composition-differentiation operator induced by φ is bounded on the Hardy space H1, then it ...
Ali Abkar
doaj   +1 more source

Generalized Hilbert operator on analytic function spaces [PDF]

Arab Journal of Mathematical Sciences
PurposeThe main objective of this work is to study the boundedness property of a generalized Hilbert operator Hβ for β ≥ 0 defined by, if f(z)=∑n=0∞anzn be any analytic function on the unit disk D then Hβf(z)=∑n=0∞∑k=0∞Γ(n+β+1)Γ(n+k+1)Γ(n+1)Γ(n+k+β+2 ...
Simi Bhuyan, Sunanda Naik
doaj   +1 more source

BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions

Journal of Function Spaces and Applications, 2012
Let {𝜑𝛼𝑛}𝑛∈ℕ be the Laguerre functions of Hermite type with index 𝛼. These are eigenfunctions of the Laguerre differential operator 𝐿𝛼=1/2(−𝑑2/𝑑𝑦2+𝑦2+1/𝑦2(𝛼2−1/4)). In this paper, we investigate the boundedness of the Hardy-Littlewood maximal function,
Li Cha, Heping Liu
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Weighted composition operators on Hardy–Smirnov spaces

Concrete Operators, 2022
Operators of type f → ψf ◦ φ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators.
Matache Valentin
doaj   +1 more source

Product Hardy Operators on Hardy Spaces [PDF]

Tokyo Journal of Mathematics, 2015
We study the product Hausdorff operator $H_{\Phi}$ on the product Hardy spaces, and prove that, for a nonnegative valued function $\Phi$, $H_{\Phi}$ is bounded on the product Hardy space $H^{1}(\mathbb{R}\times \mathbb{R})$ if and only if $\Phi$ is a Lebesgue integrable function on $(0,\infty)\times (0,\infty)$.
FAN, Dashan, ZHAO, Fayou
openaire   +2 more sources

Numerical Range on Weighted Hardy Spaces as Semi Inner Product Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
The semi-inner product, in the sense of Lumer, on weighted Hardy space which generate the norm is unique. Also we will discuss some properties of the numerical range of bounded linear operators on weighted Hardy spaces.
Heydari Mohammad Taghi
doaj   +1 more source