scholarly journals Characterization of Entire Sequences via Double Orlicz Space

2007 ◽  
Vol 2007 ◽  
pp. 1-10
Author(s):  
N. Subramanian ◽  
R. Nallaswamy ◽  
N. Saivaraju
Keyword(s):  
Orlicz Space ◽  
General Properties ◽  
Inclusion Relations

LetΓdenote the space of all entire sequences and∧the space of all analytic sequences. This paper is a study of the characterization and general properties of entire sequences via double Orlicz space ofΓM2ofΓ2establishing some inclusion relations.

PHENOTYPIC CHARACTERIZATION OF BENECKEA PARAHAEMOLYTICA: A PRELIMINARY REPORT1

1973 ◽  
Vol 36 (4) ◽  
pp. 214-219 ◽  
Author(s):  
Paul Baumann ◽  
Linda Baumann
Keyword(s):  
Liquid Medium ◽  
Type Strain ◽  
Solid Medium ◽  
Morphological Characterization ◽  
The Other ◽  
Polar Flagellum ◽  
Phenotypic Characterization ◽  
Phenotypic Traits ◽  
General Properties

Eighty-six strains which were isolated from cases of gastroenteritis and had the general properties of the genus Beneckea were submitted to an extensive nutritional, physiological, and morphological characterization. The results indicated that this collection of strains, which included the type strain of Beneckea parahaemolytica, was phenotypically homogeneous and distinguishable from the other known species of Beneckea by multiple, unrelated, phenotypic traits. When grown in liquid medium, strains of B. parahaemolytica had single, sheathed, polar flagella; when grown on solid medium, these strains had unsheathed, peritrichous flagella in addition to the sheathed, polar flagellum. Additional traits of use for differentiation of this species from the remaining species of the genus Beneckea were the ability of B. parahaemolytica to grow at 40 C, utilize d-galactose, l-leucine, l-histidine, and putrescine and the inability to utilize sucrose, dl-β-hydroxy-butyrate or give a positive Voges-Proskauer reaction. The validity of some of the traits previously used to identify B. parahaemolytica as well as the possible difficulties encountered in the identification of this organism from marine sources are considered.

scholarly journals The Orlicz space of entire sequences

2004 ◽  
Vol 2004 (68) ◽  
pp. 3755-3764 ◽  
Author(s):  
K. Chandrasekhara Rao ◽  
N. Subramanian
Keyword(s):  
Orlicz Space ◽  
General Properties

LetΓdenote the space of all entire sequences and∧the space of all analytic sequences. This paper is devoted to the study of the general properties of Orlicz spaceΓMofΓ.

scholarly journals Characterization of inclusion relations between Wiener amalgam and some classical spaces

2017 ◽  
Vol 273 (1) ◽  
pp. 404-443 ◽  
Author(s):  
Weichao Guo ◽  
Huoxiong Wu ◽  
Qixiang Yang ◽  
Guoping Zhao
Keyword(s):  
Inclusion Relations

scholarly journals Carleson Measure Theorems for Large Hardy-Orlicz and Bergman-Orlicz Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
Stéphane Charpentier ◽  
Benoît Sehba
Keyword(s):  
Unit Ball ◽  
Orlicz Space ◽  
Carleson Measure ◽  
Composition Operators ◽  
Orlicz Spaces ◽  
Growth Functions

We characterize those measuresμfor which the Hardy-Orlicz (resp., weighted Bergman-Orlicz) spaceHΨ1(resp.,AαΨ1) of the unit ball ofCNembeds boundedly or compactly into the Orlicz spaceLΨ2(BN¯,μ)(resp.,LΨ2(BN,μ)), when the defining functionsΨ1andΨ2are growth functions such thatL1⊂LΨjforj∈{1,2}, and such thatΨ2/Ψ1is nondecreasing. We apply our result to the characterization of the boundedness and compactness of composition operators fromHΨ1(resp.,AαΨ1) intoHΨ2(resp.,AαΨ2).

scholarly journals Characterization of the lack of compactness of $H^2_{\rm rad}({\mathbb R}^4)$ into the Orlicz space

2014 ◽  
Vol 16 (04) ◽  
pp. 1350037 ◽  
Author(s):  
Ines Ben Ayed ◽  
Mohamed Khalil Zghal
Keyword(s):  
Sobolev Space ◽  
Orlicz Space ◽  
Sobolev Embedding ◽  
Lack Of Compactness ◽  
The One ◽  
Funct Anal

This paper is devoted to the description of the lack of compactness of the Sobolev space [Formula: see text] in the Orlicz space [Formula: see text]. The approach that we adopt to establish this characterization is in the spirit of the one adopted in the case of [Formula: see text] into the Orlicz space [Formula: see text] in [H. Bahouri, M. Majdoub and N. Masmoudi, On the lack of compactness in the 2D critical Sobolev embedding, J. Funct. Anal. 260 (2011) 208–252].

scholarly journals A characterization of weighted Bergman-Orlicz spaces on the unit ball in Cn

2003 ◽  
Vol 74 (1) ◽  
pp. 5-18 ◽  
Author(s):  
Yasuo Matsugu ◽  
Jun Miyazawa
Keyword(s):  
Convex Function ◽  
Unit Ball ◽  
Lebesgue Measure ◽  
Orlicz Space ◽  
Positive Constant ◽  
Real Line ◽  
Orlicz Spaces ◽  
Holomorphic Functions ◽  
Strongly Convex

AbstractLet B denote the unit ball in Cn, and ν the normalized Lebesgue measure on B. For α > −1, define Here cα is a positive constant such that να(B) = 1. Let H(B) denote the space of all holomorphic functions in B. For a twice differentiable, nondecreasing, nonnegative strongly convex function ϕ on the real line R, define the Bergman-Orlicz space Aϕ(να) by In this paper we prove that a function f ∈ H(B) is in Aϕ(να) if and only if where is the radial derivative of f.

scholarly journals Almost Sequence Spaces Derived by the Domain of the Matrix

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Ali Karaisa ◽  
Ümıt Karabıyık
Keyword(s):  
Normed Space ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Schauder Basis ◽  
Matrix Classes ◽  
Almost Convergent Sequence ◽  
Inclusion Relations ◽  
The Matrix

By using , we introduce the sequence spaces , , and of normed space and -space and prove that , and are linearly isomorphic to the sequence spaces , , and , respectively. Further, we give some inclusion relations concerning the spaces , , and the nonexistence of Schauder basis of the spaces and is shown. Finally, we determine the - and -duals of the spaces and . Furthermore, the characterization of certain matrix classes on new almost convergent sequence and series spaces has exhaustively been examined.

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