Results 81 to 90 of about 4,984,277 (353)

Maximal regularity and hardy spaces

open access: yesCollectanea mathematica, 2008
In this work, we consider the Cauchy problem for $u' - Au = f$ with $A$ the Laplacian operator on some Riemannian manifolds or a sublapacian on some Lie groups or some second order elliptic operators on a domain. We show the boundedness of the operator of maximal regularity $f\mapsto Au$ and its adjoint on appropriate Hardy spaces which we define and ...
Auscher, Pascal   +2 more
openaire   +5 more sources

Experimental Test of the Three‐Setting Clauser–Horne–Shimony–Holt Inequality with Nonmaximally Orbital Angular Momentum Entangled States

open access: yesAdvanced Photonics Research, EarlyView.
Herein, the maximum violation of the three‐setting Clauser–Horne–Shimony–Holt (CHSH) inequality using nonmaximally entangled photons with orbital angular momentum is demonstrated. By mapping the optimization problem to maximizing a triangle's perimeter inscribed in an ellipse, the experiment validates the geometric approach and highlights the ...
Dongkai Zhang   +2 more
wiley   +1 more source

Function space properties of the Cauchy transform on the Sierpinski gasket

open access: yesAIMS Mathematics, 2023
Let $ S_j(z) = \varepsilon_j +(z-\varepsilon_j)/2 $ be an iterated function system, where $ \varepsilon_j = e^{2j\pi i/3} $ for $ j = 0, 1, 2 $. Then, there exists a uniform self-similar measure $ \mu $ supported on a compact set $ K $, which is the ...
Songran Wang, Zhinmin Wang
doaj   +1 more source

UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces

open access: yes, 2013
We consider Banach valued Hardy and BMO spaces in the Bessel setting. Square functions associated with Poisson semigroups for Bessel operators are defined by using fractional derivatives.
Betancor, J. J.   +2 more
core   +1 more source

A maximal function characterization of the Hardy space for the Gauss measure [PDF]

open access: yes, 2010
An atomic Hardy space $ H^1(\gamma )$ associated to the Gauss measure $ \gamma $ in $ \mathbb{R}^n$ has been introduced by the first two authors. We first prove that it is equivalent to use $ (1,r)$- or $ (1,\infty )$-atoms to define this $ H^1(\gamma )$.
G. Mauceri, S. Meda, P. Sjogren
semanticscholar   +1 more source

Vision‐Assisted Avocado Harvesting with Aerial Bimanual Manipulation

open access: yesAdvanced Robotics Research, EarlyView.
This work outlines the design and implementation of a bimanual aerial robot that employs visual perception and learning to detect, reach, and harvest avocados. A new gripper and fixer arm assembly is used to harvest avocados, while visual perception enables the detection of avocados and estimation of their position and orientation for determining ...
Zhichao Liu   +3 more
wiley   +1 more source

Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces

open access: yesOpen Mathematics
In this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional ...
Kalybay Aigerim
doaj   +1 more source

Hardy-Littlewood theorem for series with general monotone coefficients

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
In this work we study trigonometric series with general monotone coefficients. Also, we consider Lqϕ ( Lq ) space. In particular, when ϕ ( t ) ≡ 1 the space Lqϕ ( Lq ) coincides with Lq .
S. Bitimkhan
doaj   +1 more source

Hardy spaces and unbounded quasidisks

open access: yesAnnales Academiae Scientiarum Fennicae Mathematica, 2011
11 ...
Toshiyuki Sugawa, Yong Chan Kim
openaire   +4 more sources

Advances and Outlook of Nickel‐Based MOFs–LDHs Materials for Energy Conversion

open access: yesAdvanced Sustainable Systems, EarlyView.
In this graphical abstract, we present the pivotal gap between the activity and stability parameters as far as intergrated Ni‐based MOF/LDF electrocatalysts are concerned. For large scale application, these two parameters should be optimized and furthermore balanced in order to promote sustainable electrocatalytic hydrogen production.
Lincoln Einstein Kengne Fotso   +4 more
wiley   +1 more source

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