Temat: of the function. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Local structure of generalized Orlicz−Lorentz function spaces
Autorzy:: Kolwicz, Paweł
Powiązania:: https://bibliotekanauki.pl/articles/746354.pdf
Data publikacji:: 2015
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: symmetric spaces
symmetrization of the Banach function space
generalized Orlicz-Lorentz space
Musielak-Orlicz space
monotonicity properties
order continuity
local structure of a separated point
Opis:: We study the local structure of a separated point \(x\) in the generalized Orlicz-Lorentz space \(\Lambda ^{\varphi }\) which is a symmetrization of the respective Musielak-Orlicz space \(L^{\varphi }\). We present criteria for an \(LM\) point and a \(\mathit{UM}\) point, and sufficient conditions for a point of order continuity and an \(\mathit{LLUM}\) point, in the space \(\Lambda ^{\varphi }\). We prove also a characterization of strict monotonicity of the space \(\Lambda ^{\varphi }\).
Źródło:: Commentationes Mathematicae; 2015, 55, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Some remarks on the algebra of functions of two variables with bounded total \(\Phi\)-variation in Schramm sense
Autorzy:: Ereú, Tomás
Merentes, Nelson
Sánchez, José L.
Powiązania:: https://bibliotekanauki.pl/articles/745214.pdf
Data publikacji:: 2010
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Bounded variation in the sense of Wiener
bounded total variation in the sense of Schramm
function of two variable
Banach algebra
Opis:: This paper is devoted to discuss some generalizations of the bounded total \(\Phi\)-variation in the sense of Schramm. This concept was defined by W. Schramm for functions of one real variable. In the paper we generalize the concept in question for the case of functions of of two variables defined on certain rectangle in the plane. The main result obtained in the paper asserts that the set of all functions having bounded total \(\Phi\)-variation in Schramm sense has the structure of a Banach algebra.
Źródło:: Commentationes Mathematicae; 2010, 50, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: A Representation Theorem for \(\varphi\)-Bounded Variation of Functions in the Sense of Riesz
Autorzy:: Aziz, Wadie
Leiva, Hugo
Merentes, Nelson
Rzepka, Beata
Powiązania:: https://bibliotekanauki.pl/articles/746275.pdf
Data publikacji:: 2010
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Bounded variation
function of bounded variation in the sense of Riesz
variations spaces
Banach space
algebra space
Opis:: In this paper we extend the well known Riesz lemma to the class of bounded \(\varphi\)-variation functions in the sense of Riesz defined on a rectangle \(I_a^b\subset \mathbb{R}^2\). This concept was introduced in [2], where the authors proved that the space \(BV_\varphi^R (I_a^b;\mathbb{R}\) of such functions is a Banach Algebra. Moreover, they characterized also the Nemytskii operator acting in this space. Thus our result creates a continuation of the paper [2].
Źródło:: Commentationes Mathematicae; 2010, 50, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

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