Results 61 to 70 of about 215 (138)
An extension of Eegoroff’s and Lusin’s theorems in operator-valued case
Filomat, 2018 Here, we extend three basic facts from classical measure theory to operator-valued case. At first we show that operator-valued measurable functions may be approximated by simple ones. In the sequel, two fundamental theorems Egoroff and Lusin are extended in operator-valued case.
Bagheri-Bardi, G. A. +1 more
openaire +2 more sources
A surprising formula for Sobolev norms. [PDF]
Proc Natl Acad Sci U S A, 2021 Brezis H, Van Schaftingen J, Yung PL.
europepmc +1 more source
Energy Minimisers with Prescribed Jacobian. [PDF]
Arch Ration Mech Anal, 2021 Guerra A, Koch L, Lindberg S.
europepmc +1 more source
Random versions of Kakutani-Ky Fan's fixed point theorems
, 1981 The following results are proved: (1) X be either a locally convex Lusin space11A topological space X is called a Lusin space if it is separated and if there exist a Polish space P and a bijective continuous mapping of P onto X (N.
Văn Chu'o'ng, Phan
core +1 more source
Borel density, the marginal problem and isomorphism types of analytic sets
, 1984 The present work arises out of an ongoing study of the existence of probabilities with prescribed marginals, in particular, an attempt to determine exactly for which spaces property (V) and the Kolmogoroff consistency theorem hold.
Shortt, R. M.
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Regularity of Lagrangian flows over RCD∗(K, N) spaces [PDF]
, 2019 The aim of this note is to provide regularity results for Regular Lagrangian flows of Sobolev vector fields over compact metric measure spaces verifying the Riemannian curvature dimension condition. We first prove, borrowing some ideas already present in
Semola, Daniele, Brue, Elia
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A remark on a theorem of Solecki [PDF]
, 2005 summary:S. Solecki proved that if $\Cal F$ is a system of closed subsets of a complete separable metric space $X$, then each Suslin set $S\subset X$ which cannot be covered by countably many members of $\Cal F$ contains a $\boldsymbol G_{\delta}$ set ...
Zelený, M., Holický, P., Zajíček, L.
core
A general formulation of a theorem of Luzin
, 1979 Si dimostra una estensione di un noto teorema dovuto a Lusin.Here it is proved an extension of a known theorem due to ...
Albano, Luigi
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Properties of Sobolev Mappings [PDF]
, 2017 We study the properties of Sobolev functions and mappings, especially we study the violation of some properties. In the first part we study the Sobolev Embedding Theorem that guarantees W1,p (Ω) ⊂ Lp∗ (Ω) for some parameter p∗ (p, n, Ω). We show that for
Roskovec, Tomáš
core
Marcinkiewicz's theorem and its generalizations
, 2004 In this thesis, we obtained some generaliszations of a theorem of Marcinkiewicz. The main tools of the proofs in this thesis are Weierstrass' approximation theorem, Lusin's theorem and Egoroff's theorem. In the one variable generalization,
Ko, Hong Fu
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