Zobrazeno 1 - 10
of 93
pro vyhledávání: '"William Desmond Evans"'
Over the last decade, there has been considerable interest and progress in determining the spectral properties of various operators that take relativistic effects into account, with important implications for mathematics and physics. Difficulties are
Publikováno v:
Functional Analysis and Its Applications. 55:130-139
Hardy inequalities have been important topics of research for a century, and in the past twenty years or so, there has been a deluge of important papers on various versions, including discrete and fractional forms and extensions to Rellich and higher
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e47b1cd4e2410db0bfee26b3512daf3
https://doi.org/10.1134/s0016266321020052
https://doi.org/10.1134/s0016266321020052
In this paper we consider extensions of positive operators. We study the connections between the von Neumann theory of extensions and characterisations of positive extensions via decompositions of the domain of the associated form. We apply the resul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74fb971c60a091c564840dd9699e2198
https://kar.kent.ac.uk/76184/11/Brown2019_Article_PositiveSelf-adjointOperatorEx.pdf
https://kar.kent.ac.uk/76184/11/Brown2019_Article_PositiveSelf-adjointOperatorEx.pdf
Autor:
William Desmond Evans, D. E. Edmunds
Publikováno v:
Oxford Scholarship
Three main themes run through this chapter: compact linear operators, measures of non-compactness, and Fredholm and semi-Fredholm maps. Connections are established between these themes so as to derive important results later in the book.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe8f6c91fffc3f927d8ebb97d897e8e6
https://doi.org/10.1093/oso/9780198812050.003.0001
https://doi.org/10.1093/oso/9780198812050.003.0001
Some problems in mathematical analysis (e.g., in theory of function spaces, in approximation theory or in interpolation theory) lead to the investigation of weighted inequalities on certain classes of quasiconcave functions on the interval I=(a,b)
Publikováno v:
Revista Matemática Complutense. 26:445-469
In Edmunds et al. [J Lond Math Soc 78(2):65–84, 2008], a representation of a compact linear operator \(T\) acting between reflexive Banach spaces \(X\) and \(Y\) with strictly convex duals was established in terms of elements \(x_n \in X,\) project
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b294b38df5c950bbe60e0feb9df6ea1f
https://doi.org/10.1007/s13163-012-0107-x
https://doi.org/10.1007/s13163-012-0107-x
Publikováno v:
Journal of Functional Analysis. 262:648-666
A Hardy inequality of the form ∫Ω|∇f(x)|pdx⩾(p−1p)p∫Ω{1+a(δ,∂Ω)(x)}|f(x)|pδ(x)pdx,for all f∈C0∞(Ω∖R(Ω)), is considered for p∈(1,∞)p∈(1,∞), where Ω is a domain in RnRn, n⩾2n⩾2, R(Ω)R(Ω) is the ridge of Ω, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b22afffb9faccf7f4b10a6eb00a9ad6a
https://doi.org/10.1016/j.jfa.2011.10.001
https://doi.org/10.1016/j.jfa.2011.10.001
Publikováno v:
Journal of the London Mathematical Society. 78:65-84
This is a survey of recent work concerning a representation of compact linear operators acting between reflexive Banach spaces with strictly convex duals which is an analogue of Erhard Schmidt’s classical Hilbert space theorem for compact operators
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa767f6974c14f254f65cdaaa5621189
https://doi.org/10.1112/jlms/jdm083
https://doi.org/10.1112/jlms/jdm083
Publikováno v:
Banach J. Math. Anal. 2, no. 2 (2008), 94-106
Hardy-Sobolev-type inequalities associated with the operator $L:=\textbf{{x}} \cdot \nabla $ are established, using an improvement to the Sobolev embedding theorem obtained by M. Ledoux. The analysis involves the determination of the operator semigro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4d631052d6aa2f6a01f579669e5339b
https://doi.org/10.15352/bjma/1240336296
https://doi.org/10.15352/bjma/1240336296