Browsing by Subject "commutator"

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Druga strategia całkowania równań różniczkowych rzędu drugiego dopuszczających dwuwymiarową algebrę Liego
(Data obrony: 2010-07-05) Pogodzińska, Anna
Wydział Matematyki Stosowanej
Access status: Open Access ,
Fractional operators and their commutators on generalized Orlicz spaces
(Wydawnictwa AGH, 2022) Karppinen, Arttu
In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces (also known as Musielak-Orlicz spaces) for fractional maximal functions and Riesz potentials. We prove their boundedness between generalized Orlicz spaces and give a characterization for functions of bounded mean oscillation.
Access status: Open Access ,
On the perfectness of C∞,s-diffeomorphism groups on a foliated manifold
(2008) Lech, Jacek
The notion of $C^{r,s}$ and $C^{\infty,s}$-diffeomorphisms is introduced. It is shown that the identity component of the group of leaf preserving $C^{\infty,s}$-diffeomorphisms with compact supports is perfect. This result is a modification of the Mather and Epstein perfectness theorem.
Access status: Open Access ,
On the structure of certain nontransitive diffeomorphism groups on open manifolds
(2012) Kowalik, Agnieszka; Lech, Jacek; Michalik, Ilona
It is shown that in some generic cases the identity component of the group of leaf preserving diffeomorphisms (with not necessarily compact support) on a foliated open manifold is perfect. Next, it is proved that it is also bounded, i.e. bounded with respect to any bi-invariant metric. It follows that the group is uniformly perfect as well.
Access status: Restricted ,
Pierwsza strategia całkowania równań różniczkowych zwyczajnych rzędu drugiego dopuszczających dwuwymiarową algebrę Liego
(Data obrony: 2010-07-05) Szuber, Marcelina
Wydział Matematyki Stosowanej