Aiena, Pietro Triolo, Salvatore
Published in
Mediterranean Journal of Mathematics

In this paper, we study some local spectral properties of Toeplitz operators Tϕ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T_\phi $$\end{document} defined on Hardy ...

Akhtar, Md. Nasim Guru Prem Prasad, M. Navascués, M. A.
Published in
Mediterranean Journal of Mathematics

In this article, a family of continuous functions on the unit sphere S⊆R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S\subseteq \mathbb {R}^{3}$$\end{document} gene...

Karimov, Umed H. Repovš, Dušan D.

The main results of this paper are: (1) If a space $X$ can be embedded as a cellular subspace of $\mathbb{R}^n$ then $X$ admits arbitrary fine open coverings whose nerves are homeomorphic to the $n$-dimensional cube $\mathbb{D}^n$; (2) Every $n$-dimensional cell-like compactum can be embedded into $(2n+1)$-dimensional Euclidean space as a cellular ...

Hegenbarth, Friedrich Pamuk, Mehmetcik Repovš, Dušan

The aim of this paper is to give an $s$-cobordism classification of topological $4$-manifolds in terms of the standard invariants using the group of homotopy self-equivalences. Hambleton and Kreck constructed a braid to study the group of homotopy self-equivalences of $4$-manifolds. Using this braid together with the modified surgery theory of Krec...

Garity, D. J. Karimov, U. H. Repovš, D. D. Spaggiari, F.

We show that for any set of primes $\mathcal{P}$ there exists a space $M_{\mathcal{P}}$ which is a homology and cohomology 3-manifold with coefficients in $\mathbb{Z}_{p}$ for $p\in \mathcal{ P}$ and is not a homology or cohomology 3-manifold with coefficients in $\mathbb{Z}_q$ for $q\not\in \mathcal{ P}$. Moreover, $M_{\mathcal{P}}$ is neither a h...

Abbasi, Ebrahim Vaezi, Hamid Li, Songxiao
Published in
Mediterranean Journal of Mathematics

In this work, the boundedness of the weighted composition operator uCφ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$uC_\varphi $$\end{document} from H∞\documentclass[...

Chiang, Yuan-Jen
Published in
Mediterranean Journal of Mathematics

We investigate the relationship of Ricci form, exponential tension field and tension field of the Gauss map of an immersion from a Riemannian manifold into a Riemannian space form. We also study exponentially harmonic Gauss sections which are the critical points of the vertical exponential energy through arbitrary vertical variations. We calculate ...

Başcı, Yasemin Öğrekçi, Süleyman Mısır, Adil
Published in
Mediterranean Journal of Mathematics

In this paper, we study the stability in the sense of Hyers–Ulam for the following fractional differential equations including the new Caputo–Fabrizio fractional derivative: CFDαyx=fx\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackag...

Ammar, Aymen Jeribi, Aref Lazrag, Nawrez
Published in
Mediterranean Journal of Mathematics

The aim of this paper is to find a non-Archimedean counterpart of the generalized convergence of closable unbounded linear operators as defined by Kato (Perturbation Theory for Linear Operators, 2nd edn. In: Grundlehren der Mathematischen Wissenschaften, Band 132, Springer, Berlin, 1976). Moreover, we prove that this convergence can be considered a...

Sari, Ramazan Turgut Vanli, Aysel
Published in
Mediterranean Journal of Mathematics

In this paper, we study slant submanifolds of a Lorentz Kenmotsu manifold. Necessary and sufficient conditions are given on a submanifold of a Lorentz Kenmotsu manifold to be a slant submanifold. We also study slant submanifolds of locally warped product Lorentz Kenmotsu manifold. We give examples of slant submanifold warped product a Lorentz Kenmo...