Results 81 to 90 of about 4,984,277 (353)
Maximal regularity and hardy spaces
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
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
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
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]
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
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
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
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
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Toshiyuki Sugawa, Yong Chan Kim
openaire +4 more sources
Advances and Outlook of Nickel‐Based MOFs–LDHs Materials for Energy Conversion
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