Results 1 to 10 of about 400,575 (187)
Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces [PDF]
We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator.
Charu Sharma+3 more
doaj +4 more sources
Inclusion Properties of Orlicz and Weak Orlicz Spaces
This paper discusses the structure of Orlicz spaces and weak Orlicz spaces on ℝn. We obtain some necessary and sufficient conditions for the inclusion property of these spaces.
Al Azhary Masta+2 more
doaj +5 more sources
Boyd Indices of Orlicz-Lorentz Space [PDF]
Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. In this paper, we investigate their Boyd indices. Bounds on the Boyd indices in terms of the Matuszewska-Orlicz indices of the defining functions are given. Also, we give an example to show that the Boyd indices and Zippin indices of an Orlicz-Lorentz space need ...
Stephen Montgomery-Smith
arxiv +3 more sources
Groups of isometries on Orlicz spaces [PDF]
1* Introduction* Let X be a real or complex Orlicz space of functions on an atomic measure space; an additional (not very restrictive) condition will be imposed on X which implies in particular that X Φ L°°. If X is a Hubert space, there are numerous strongly continuous one parameter groups of isometries on X, according to a classical theorem of M.
Jerome A. Goldstein
openalex +3 more sources
Isometries of Orlicz spaces [PDF]
G. Lumer
openalex +4 more sources
Conjugate functions in Orlicz spaces [PDF]
Robert D. Ryan
openalex +5 more sources
On fractional Orlicz–Sobolev spaces [PDF]
AbstractSome recent results on the theory of fractional Orlicz–Sobolev spaces are surveyed. They concern Sobolev type embeddings for these spaces with an optimal Orlicz target, related Hardy type inequalities, and criteria for compact embeddings.
Angela Alberico+3 more
openaire +4 more sources
Fractional operators and their commutators on generalized Orlicz spaces [PDF]
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.
Arttu Karppinen
doaj +1 more source
GENERALIZED ORLICZ SEQUENCE SPACES
Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces.
Cece Kustiawan+5 more
doaj +1 more source
Inclusion Properties of Henstock-Orlicz Spaces
Henstock-Orlicz spaces were generally introduced by Hazarika and Kalita in 2021. In general, a function is Lebesgue integral if only if that function and its modulus are Henstock-Kurzweil integrable functions.
Elin Herlinawati
doaj +1 more source