Results 261 to 270 of about 18,126,484 (324)

Neural Operator: Learning Maps Between Function Spaces

arXiv.org, 2021
The classical development of neural networks has primarily focused on learning mappings between finite dimensional Euclidean spaces or finite sets. We propose a generalization of neural networks to learn operators, termed neural operators, that map ...
Nikola B. Kovachki   +6 more
semanticscholar   +1 more source

Weak Hardy-type spaces associated with ball quasi-Banach function spaces I: Decompositions with applications to boundedness of Calderón-Zygmund operators

Science China Mathematics, 2019
Let X be a ball quasi-Banach function space on ℝn. In this article, we introduce the weak Hardy-type space W HX(ℝn), associated with X, via the radial maximal function.
Yangyang Zhang   +3 more
semanticscholar   +1 more source

Applications of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces

Results in Mathematics, 2019
Let X be a ball quasi-Banach function space satisfying some minor assumptions. In this article, the authors establish the characterizations of $$H_X(\mathbb {R}^n)$$ H X ( R n ) , the Hardy space associated with X , via the Littlewood–Paley g -functions ...
Fan Wang, Dachun Yang, Sibei Yang
semanticscholar   +1 more source

A Modified Analytic Function Space Feynman Integral of Functionals on Function Space

Chinese Annals of Mathematics, Series B, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, SeungJun, Chung, HyunSoo
openaire   +1 more source

The functions of space

Journal of Advanced Nursing, 1994
This paper describes a participant observation study carried out on a ward for elderly functionally ill people in a large psychiatric hospital in the Midlands, England. My initial interest was in observing the process of institutionalization, and attempts made to counter this process.
openaire   +2 more sources

Spaces of Harmonic Functions

Journal of the London Mathematical Society, 2000
The paper is mainly concerned with the dimensions of certain spaces of harmonic functions on a complete Riemannian manifold \(M\) of dimension \(n\). It is shown that the study of harmonic functions on \(M\) can be reduced to the study of harmonic functions on each end of \(M\).
Sung, Chiung-Jue   +2 more
openaire   +1 more source

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