Results 21 to 30 of about 1,120,275 (201)

Approximation theory for weighted Sobolev spaces on curves [PDF]

, 2001
17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana Galván, Domingo, Pestana, Domingo, Romera, Elena, Álvarez, Venancio, Rodríguez, José M., Álvarez González, Venancio, Rodríguez García, José Manuel   +6 more
core   +1 more source

Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs

Mathematics, 2021
Let G be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on G. By assuming that the graph G satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint Sobolev ...
Suying Liu, Feng Liu
doaj   +1 more source

Sobolev Spaces in Extended Metric-Measure Spaces [PDF]

, 2021
These lecture notes contain an extended version of the material presented in the C.I.M.E. summer course in 2017. The aim is to give a detailed introduction to the metric Sobolev theory. The notes are divided in four main parts.
Savaré, Giuseppe, Giuseppe Savaré
core   +1 more source

Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces [PDF]

, 2016
summary:We define and study Musielak-Orlicz-Sobolev spaces with zero boundary values on any metric space endowed with a Borel regular measure. We extend many classical results, including completeness, lattice properties and removable sets, to Musielak ...
Ohno, Takao, Shimomura, Tetsu
core   +1 more source

Smooth approximation in weighted Sobolev spaces [PDF]

, 1997
summary:We give necessary and sufficient conditions for the equality $H=W$ in weighted Sobolev spaces. We also establish a Rellich-Kondrachov compactness theorem as well as a Lusin type approximation by Lipschitz functions in weighted Sobolev ...
Kilpeläinen, T.
core   +1 more source

Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces

Journal of Function Spaces, 2017
Let s∈R and 2≤p≤∞. We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces WHs,pRn to fractional Fock-Sobolev spaces FRs,p.
Hong Rae Cho, Hyunil Choi, Han-Wool Lee
doaj   +1 more source

Higher Order Sobolev-Type Spaces on the Real Line

Journal of Function Spaces, 2014
This paper gives a characterization of Sobolev functions on the real line by means of pointwise inequalities involving finite differences. This is also shown to apply to more general Orlicz-Sobolev, Lorentz-Sobolev, and Lorentz-Karamata-Sobolev spaces.
Bogdan Bojarski, Juha Kinnunen, Thomas Zürcher   +2 more
doaj   +1 more source

Preduals of Sobolev-Campanato spaces [PDF]

, 2001
summary:We present definitions of Banach spaces predual to Campanato spaces and Sobolev-Campanato spaces, respectively, and we announce some results on embeddings and isomorphisms between these spaces.
Gröger, Konrad, Recke, Lutz
core   +1 more source

Positive forms on Banach spaces [PDF]

, 2003
The first representation theorem establishes a correspondence between positive, self-adjoint operators and closed, positive forms on Hilbert spaces.
Farkas, Bálint, Matolcsi, Máté, M. Matolcsi, B. Farkas   +3 more
core   +1 more source

Robots and Minimal, Physics‐Informed Features: A Hybrid Framework for Enzyme Catalysis

Advanced Science, EarlyView.
Robotic experimentation and physics‐informed machine learning combine to predict enzyme substrate scope. With a handful of interpretable features derived from docking and quantum mechanics calculations, our model rivals descriptor‐heavy AI approaches and extrapolates to unseen substrates and enzyme classes.
Natalia Onishchenko, Eric S. Larsen, Govind Paneru, Kisung Lee, Diana V. Kolygina, Yankai Jia, Elizabeth Maria Clarissa, Wai‐Shing Wong, Bartosz A. Grzybowski   +8 more
wiley   +1 more source