Results 21 to 30 of about 1,209,766 (301)
On the atomic decomposition for Hardy spaces [PDF]
Pacific Journal of Mathematics, 1985 The author gives a new proof of the atomic decomposition for distributions in \(H^ p({\mathbb{R}}_+^{n+1 ...
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Calderón-Hardy type spaces and the Heisenberg sub-Laplacian [PDF]
Opuscula MathematicaFor \(0 \lt p \leq 1 \lt q \lt \infty\) and \(\gamma \gt 0\), we introduce the Calderón-Hardy spaces \(\mathcal{H}^{p}_{q,\gamma}(\mathbb{H}^{n})\) on the Heisenberg group \(\mathbb{H}^{n}\), and show for every \(f \in H^{p}(\mathbb{H}^{n})\) that the ...
Pablo Rocha
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Applied Sciences, 2023 A spherical antenna array (SAA) is an array-designed arrangement capable of scanning in almost all the radiation sphere with constant directivity. It finds recent applications in aerospace, spacecraft, vehicular and satellite communications.
Oluwole John Famoriji, Thokozani Shongwe
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Polar Alignment and Atomic Decomposition
CoRR, 2019 Structured optimization uses a prescribed set of atoms to assemble a solution that fits a model to data. Polarity, which extends the familiar notion of orthogonality from linear sets to general convex sets, plays a special role in a simple and geometric form of convex duality.
Zhenan Fan +3 more
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Thermal stability of ionic solids: A boiling points survey
Chemical Thermodynamics and Thermal Analysis, 2023 A survey of those standard inorganic materials which boil without sublimation or decomposition has yielded data for 110 unique materials. These separate according to their ambient lattice energies into groups of monohalides, dihalides, trihalides ...
Leslie Glasser
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The atomic decomposition of harmonic functions satisfying certain conditions of integrability
International Journal of Mathematics and Mathematical Sciences, 1995 Distributions on Euclidean spaces with derivatives of their Poisson integral satisfying certain natural conditions of integrability are represented as sums of weighted atoms.
Krzysztof Bogdan
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Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces
Journal of Inequalities and Applications, 2016 In this paper, we establish some boundedness conditions for the multidimensional Hausdorff operator on the homogeneous Hardy-Morrey and on the Besov-Morrey space, and we extend some results in the recent papers by Jia and Wang, and by Mazzucato ...
Belay Mitiku Damtew
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Atomic insight into the thermobaric effect of aluminized explosives
FirePhysChem, 2022 The addition of active metallic particles to common explosives can greatly extend high-temperature and high-pressure time of explosion, as the so-called thermobaric effect. However, the atomic details for this effect remain unclear. This work presents an
Kai Zhong +2 more
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Internal Overvoltage Identification of Distribution Network via Time-Frequency Atomic Decomposition
IEEE Access, 2019 Internal overvoltage accidents in the distribution network are likely to cause an equipment insulation breakdown and result in system power outages and economic losses.
Wei Gao +4 more
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On the atomic decomposition of 𝐻¹ and interpolation [PDF]
Proceedings of the American Mathematical Society, 1986 The author gives a basic proof of the atomic decomposition for functions f in \(H^ 1\) (of the upper half plane). He uses the nontangential maximal function Nf in this proof. Using the symmetric decreasing rearrangement \((NF)^*\) of the maximal function he obtains an estimate quality (''Peetre K-functional'') \[ K(f,t)=\inf \{\| g\|_{H^ 1}+t\| h\|_{L^{
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