1.
Quasi-subgeometry partitions of projective spaces - Johnson, Norman
The notion of a subgeometry partition of a finite projective space $% PG(2m-1,q^{2})$ by $PG(m-1,q^{2})$'s and $PG(2m-1,q)$'s or a partition of $% PG(2m,q^{2})$ by $PG(2m,q)$'s is generalized to quasi-subgeometry partitions of $PG(2m-1,q^{d})$ by $PG(dm/e-1,q^{e})$'s for a set of divisors $e$ of $d$ and, partitions of $PG(2m,q^{2d})$ by $PG(d(2m+1)/f-1,q^{f})$'s for a set of divisors $f$ of $d$. In all cases, there are associated vector space spreads that are unions of `fans'. More generally, in the arbitrary dimensional case, a complete theory of quasi-subgeometry partitions of $PG(V-1,D)$ corresponding to generalized spreads admitting $D^{\ast }$ as a fixed-point-free collineation group is obtained. When...
2.
Subclasses of Multivalent Starlike and Convex Functions - Ali, Rosihan M.; Ravichandran, V.; Lee, See Keong
Subclasses of $p$-valent starlike and convex functions
in the unit disk in the complex plane are investigated. Every
$p$-valent convex function in a subclass is shown to belong to its
corresponding subclass of starlike functions. A necessary and
sufficient condition for functions to belong to these classes is
obtained. Subordination properties, and sharp distortion, growth,
covering and rotation estimates are obtained for these classes.
Convolution results with prestarlike functions are also derived.
3.
Sequences of some meromorphic function spaces - El-Sayed Ahmed, A.; Bakhit, M. A.
Our goal in this paper is to
introduce some new sequences of some meromorphic function spaces,
which will be called $b_q$ and $q_{K}$-sequences. Our study is
motivated by the theories of normal, $Q^{\#}_K$ and meromorphic
Besov functions. For a non-normal function $f$ the sequences of
points $\{a_n\}$ and $\{b_n\}$ for which
$$\lim_{n\rightarrow
\infty}(1-|a_n|^2)f^{\#}(a_n)=+\infty\,\,\,\mbox{and}
$$
$$
\lim_{n\rightarrow\infty}\iint_\Delta \bigl(f^{\#}(z)\bigr)^q
(1-|z|^2)^{q-2}(1-|\varphi_{a_n}(z)|^2)^s dA(z)=+\infty\;$$ or $$
\lim_{n\rightarrow\infty}\iint_\Delta \bigl(f^{\#}(z)\bigr)^2
K(z,a_n)dA(z)=+\infty\;$$ are considered and compared with each
other. Finally, non-normal meromorphic functions are described in
terms of the distribution of the values of these meromorphic
functions.
4.
New results of periodic solutions for a class of delay Rayleigh equation - Wang, Yong
In this studies, we discuss the following Rayleigh
equation with two delays:
$$
x''(t)+f(t,x'(t))+g_{1}(t,x(t-\tau_{1}))+g_{2}(t,x(t-\tau_{2}))=e(t).
$$
By using Mawhin's continuation theorem and some new techniques, some
criteria to guarantee the existence and uniqueness of periodic
solutions of this equation is given. Our results are new and
complement the known results in the literature.
5.
Common fixed point theorems in symmetric spaces employing a new implicit function and common property (E.A) - Imdad, M.; Ali, Javid
The aim of this paper is broadly two fold. Firstly, we define a new class of implicit function unifying a multitude of strict contractive conditions and utilize the same to prove a general common fixed point theorem for two pairs of weak compatible mappings satisfying common property $(E.A)$ when underlying space is not necessarily compact. Secondly, we show that common property $(E.A)$ relaxes the required containment of ranges of the involved mappings in common fixed point considerations up to two pairs of mappings.
6.
Crofton formulas and convexity condition for secantoptics - Mozgawa, Witold; Skrzypiec, Magdalena
The aim of this paper is to study some properties of secantoptics, defined in [8]. We show that any evolutoid of a given oval $C$ is a hedgehog and that any secantoptic of an oval $C$, is an isoptic of a pair of required evolutoids. We prove some Crofton-type formulas for secantoptics and give a necessary and sufficient condition for a secantoptic to be convex.
7.
Covariant Functional Calculi from the Affine Groups - Gong, Yafang
Invoking the Clifford-Hermite Wavelets from Clifford analysis,
we use the covariances of affine groups to
construct a kind of functional calculi for several non-commuting
bounded operators. Functional calculi are the intertwining transforms between the
representations of affine groups in the space $L^2(\mathbb R^m)$ and in the
space of bounded operators. It turns out that the Weyl calculus is the value of this new
functional calculus at the identity of affine groups. Our approach is inspired by the mathematical ideas
contained in the paper ``V. V. Kisil.
Wavelets in Banach spaces. Acta Appl. Math. 1999, {\bf 59}(1): 79-109".
9.
On close-to-star functions - Zaprawa, Paweł
For a given class $A$ and a set $D$ the sets $\bigcap_{f\in A}f(D)$ and $\bigcup_{f\in A}f(D)$ are called the Koebe set and the covering set for $A$ over $D$, respectively. These sets are found for the class $H$ of close-to-star functions $f$ of the form $f(z)=\frac{z}{1-z^2}p(z)$, where $Re p(z)>0, p(0)=1$. Analogous results concerning some other subclasses of close-to-star functions are established too.
10.
Maps with dense orbits: Ansari's theorem revisited and the infinite
torus - Marano, Miguel; Salas, Héctor N.
Let $B$ be a Banach space and $T$
a bounded linear operator on $B.$ A celebrated theorem of Ansari
says that whenever $T$ is hypercyclic so is any power $T^n$. We
provide a very natural proof of this theorem by building on an
approach by Bourdon. We also explore an extension to a non linear
setting of a theorem of León-Saavedra and Müller which says that
for $\lambda \in \mathbb C$ and $|\lambda|=1$ the operator $\lambda
T$ is hypercyclic whenever $T$ is.
11.
On analytic continuation in Hardy spaces - Valdivia, Manuel
Let $D$ be the open unit disk in $\mathbb C$. In this article, we
construct dense subspaces of $H^p(D)$, $1\leq p\leq \infty$, with
certain barrelledness properties, such that their nonzero elements
cannot be extended holomorphically outside $D$.
12.
Harrison's criterion, Witt equivalence and reciprocity equivalence - Grenier-Boley, N.
Harrison's criterion
characterizes the isomorphy of the Witt rings of two fields in terms
of properties of these fields. In this article, we discuss about the
existence of such characterizations for the isomorphism of Witt
groups of hermitian forms over certain algebras with involution. In
the cases where we consider the Witt group of a quadratic extension
with its non-trivial automorphism or the Witt group of a quaternion
division algebra with its canonical involution, such criteria are
proved. In the framework of global fields, these
criteria are reformulated in terms of properties involving
certain real places of the considered fields.
13.
A fixed point properties characterizing inner amenable locally compact
semigroups - Mohammadzadeh, B.; Nasr-Isfahani, R.
For a locally compact semigroup $\frak S$, we study a fixed point
property in terms of left Banach $\frak S$-modules; we also use this
property to give a characterization for inner amenability of $\frak S$.
14.
Ein neuer Schließungssatz für Berührstrukturen - Özcan, Münevver; Herzer, Armin
We characterize those contact spaces which are isomorphic to some geometry
of plane sections of a quadratic set of rank greater than 4 by a new incidence
proposition combined with some richness conditions.
15.
Gorenstein homological dimension and Ext-depth of modules - Mafi, Amir
Let $(R,{\frak{m}},k)$ be a commutative Noetherian local ring. It is
well-known that $R$ is regular if and only if the flat dimension
of $k$ is finite. In this paper, we show that $R$ is Gorenstein if
and only if the Gorenstein flat dimension of $k$ is finite. Also,
we will show that if $R$ is a Cohen-Macaulay ring and $M$ is a
Tor-finite $R$-module of finite Gorenstein flat
dimension, then the depth of the ring is equal to the sum of the
Gorenstein flat dimension and Ext-depth of $M$. As a consequence,
we get that this formula holds for every syzygy of a
finitely generated $R$-module over a Gorenstein...
16.
The arithmetic of curves over two dimensional local fields - Draouil, Belgacem
We study the class field theory of curves defined over two dimensional local
fields. The approach used here is a combination of the work of Kato-Saito and
Yoshida where the base field is one dimensional.
17.
Theorems of Perron type for
uniform exponential dichotomy of linear skew-product semiflows. - Megan, Mihail; Sasu, Adina Lumini?a; Sasu, Bogdan
We study the connections between the uniform exponential dichotomy of a discrete linear skew-product semiflow and the uniform admissibility of the pair $(c_{0}(\n,X),c_{00}(\n, X))$. We give necessary and sufficient conditions for uniform exponential dichotomy of linear skew-product semiflows in terms of the uniform admissibility of the pairs $(c_{0}(\n, X),c_{00}(\n, X))$ and $(C_0(\r, X),$ $C_{00}(\r, X))$, respectively. We generalize a dichotomy theorem due to Van Minh, Räbiger and Schnaubelt for the case of linear skew-product semiflows.
18.
Sur la stabilité exponentielle des systèmes hyperboliques du premier ordre à coefficients L?: Application aux échangeurs thermiques couplés. - Chentouf, Boumediène; Xu, Cheng-Zhong; Sallet, Gauthier
Cet article traite le problème de la stabilité exponentielle d'un système composé de deux échangeurs thermiques à contre-courant. Celui-ci sera formulé sous une forme abstraite de système hyperbolique à coefficients variables (d'espace), bornés mais discontinus. En utilisant la méthode classique de régularisation et la méthode des caractéristiques, on montre dans un cadre assez large la stabilité exponentielle d'une classe de systèmes hyperboliques à coefficients dans $L^{\infty}$. Ce résultat est ensuite appliqué à notre système d'échangeurs thermiques pour établir sa stabilité exponentielle.
20.
Structure m-convexe dans l'espace à poids $L_\Omega ^p\left( R^n\right) $ - El Kinani, A.; Benazzouz, A.
We consider the space {\bf $L_\Omega ^p\left( R^n\right) ,$ }$1\leq
p < +\infty ,$ where $\Omega $ is a family of weights. We give a necessary and
sufficient condition, on $\Omega ,$ for {\bf $L_\Omega ^p\left( R^n\right) $
} to be locally m-convex algebra. Fundamental properties of this algebra
are also obtained.
1.
