Results 31 to 40 of about 4,859,609 (359)

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

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
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
doaj   +1 more source

The Hardy space H1 on non-homogeneous metric spaces [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2010
Let (, d, μ) be a metric measure space and satisfy the so-called upper doubling condition and the geometrical doubling condition. We introduce the atomic Hardy space H1(μ) and prove that its dual space is the known space RBMO(μ) in this context.
T. Hytonen, Dachun Yang, Dongyong Yang
semanticscholar   +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

Inner functions with derivatives in the weak Hardy space [PDF]

, 2012
It is proved that exponential Blaschke products are the inner functions whose derivative is in the weak Hardy space. As a consequence, it is shown that exponential Blaschke products are Frostman shift invariant.
J. Cima, A. Nicolau
semanticscholar   +1 more source

Injectable Dual‐Network Hydrogel System for Osteochondral Repair Combining Immunomodulation, Mechanical Adaptability, and Enhanced Tissue Integration

Advanced Functional Materials, EarlyView.
A UV‐triggered injectable dual‐network hydrogel is reported as the first application of bletilla striata polysaccharide (BSP) in osteochondral repair. By integrating methacrylamide‐modified BSP and nitrobenzaldehyde‐functionalized hyaluronic acid, the system achieves immunomodulation, mechanical reinforcement, and dynamic tissue adhesion, thereby ...
Jiaming Cui, Feifei Zhou, Yuan Luo, Tao Ouyang, Huiwu Zhang, Songmiao Cheng, Qiang Li, Xu Jiang, Yingying Yu, Yicheng Wang, Hong Ming   +10 more
wiley   +1 more source

Operator valued Hardy spaces [PDF]

Memoirs of the American Mathematical Society, 2007
We give a systematic study on the Hardy spaces of functions with values in the non-commutative $L^p$-spaces associated with a semifinite von Neumann algebra ${\cal}M.$ This is motivated by the works on matrix valued Harmonic Analysis (operator weighted norm inequalities, operator Hilbert transform), and on the other hand, by the recent development on ...
openaire   +2 more sources

Advanced Mounting Technique for Improved Imaging and Analysis of Embedded Spheroids and Migrating Cells in Light Sheet Fluorescence Microscopy

Advanced Materials Technologies, EarlyView.
A novel sample holder compatible with the Zeiss Lightsheet 7 microscope improves imaging of spheroids embedded in collagen matrices. By enabling dual‐sided illumination, it enhances image quality and quantitative analysis of migrating cells. This method advances 3D light sheet microscopy for studying tumor invasion and therapeutic responses.
Masoumeh Mohamadian Namaqi, Franziska Moll, Robert Römer, Andreas Grodrian, Doris Heinrich, Karen Lemke   +5 more
wiley   +1 more source

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