Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 4

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Approximate differentiation: Jarník points

100%
Malý J., Zajíček L.
Fundamenta Mathematicae
|
1991-1992
|
tom 140
|
nr 1
87-97
EN
We investigate Jarník's points for a real function f defined in ℝ, i.e. points x for which $ap_{y → x}|(f(y)-f(x))/(y-x)|=+∞$. In 1970, Berman has proved that the set $J_f$ of all Jarník's points for a path f of the one-dimensional Brownian motion is the whole ℝ almost surely. We give a simple explicit construction of a continuous function f with $J_f = ℝ. The main result of our paper says that for a typical continuous function f on [0,1] the set $J_f$ is c-dense in [0,1].
2
Content available remote

Absolutely continuous functions of several variables and diffeomorphisms

100%
Hencl S., Malý J.
Open Mathematics
|
2003
|
tom 1
|
nr 4
690-705
EN
In [4], a class of absolutely continuous functions of d-variables, motivated by applications to change of variables in an integral, has been introduced. The main result of this paper states that absolutely continuous functions in the sense of [4] are not stable under diffeomorphisms. We also show an example of a function which is absolutely continuous with respect cubes but not with respect to balls.
3
Content available remote

Composition operator and Sobolev-Lorentz spaces $WL^{n,q}$

81%
Hencl S., Kleprlík L., Malý J.
Studia Mathematica
|
2014
|
tom 221
|
nr 3
197-208
EN
Let Ω,Ω' ⊂ ℝⁿ be domains and let f: Ω → Ω' be a homeomorphism. We show that if the composition operator $T_{f}: u ↦ u∘ f$ maps the Sobolev-Lorentz space $WL^{n,q}(Ω')$ to $WL^{n,q}(Ω)$ for some q ≠ n then f must be a locally bilipschitz mapping.
4
Content available remote

Fine behavior of functions whose gradients are in an Orlicz space

81%
Malý J., Swanson D., Ziemer W.
Studia Mathematica
|
2009
|
tom 190
|
nr 1
33-71
EN
For functions whose derivatives belong to an Orlicz space, we develop their "fine" properties as a generalization of the treatment found in [MZ] for Sobolev functions. Of particular importance is Theorem 8.8, which is used in the development in [MSZ] of the coarea formula for such functions.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.