Geometric Inequalities for Purely Real Submanifolds in Complex Space FormsResults in Mathematics - Tập 55 - Trang 457-468 - 2009
Adela Mihai
As a generalisation of Kaehlerian slant submanifolds in Kaehler manifolds (i.e., proper slant submanifolds with the canonical endomorphism P parallel, ∇P = 0) one considers purely real submanifolds with ∇P = 0. The class of purely real submanifolds with ∇P = 0 also contains totally real submanifolds, in particular Lagrangian submanifolds. We obtain Chen-like inequalities for purely real submanifol...... hiện toàn bộ
Conjugacy Problem of Strictly Monotone Maps with Only One Jump DiscontinuityResults in Mathematics - Tập 75 - Trang 1-15 - 2020
Jinghua Liu, Yong-Guo Shi
The conjugacy problem is one of the important questions in iteration theory. As far as we know, for discontinuous strictly monotone maps there is no complete result. In this paper, we investigate the conjugacy problem of strictly monotone maps with only one jump discontinuity. We give some sufficient and necessary conditions for the conjugacy relationship. And we present some methods to construct ...... hiện toàn bộ
On the Fundamental Theorem of $$\varvec{(p,q)}$$ -Calculus and Some $$\varvec{(p,q)}$$ -Taylor FormulasResults in Mathematics - Tập 73 - Trang 1-21 - 2018
P. Njionou Sadjang
In this paper, the (p, q)-derivative and the (p, q)-integration are investigated. Two suitable polynomial bases for the (p, q)-derivative are provided and various properties of these bases are given. As application, two (p, q)-Taylor formulas for polynomials are given, the fundamental theorem of (p, q)-calculus is included and the formula of (p, q)-integration by part is proved.
Monge–Kantorovich Norms on Spaces of Vector MeasuresResults in Mathematics - Tập 70 - Trang 349-371 - 2016
Ion Chiţescu, Loredana Ioana, Radu Miculescu, Lucian Niţă
One considers Hilbert space valued measures on the Borel sets of a compact metric space. A natural numerical valued integral of vector valued continuous functions with respect to vector valued measures is defined. Using this integral, different norms (we called them Monge–Kantorovich norm, modified Monge–Kantorovich norm and Hanin norm) on the space of measures are introduced, generalizing the the...... hiện toàn bộ
A Construction of Refinable Sets for Interpolating WaveletsResults in Mathematics - Tập 34 - Trang 359-372 - 2013
Charles A. Micchelli, Thomas Sauer, Yuesheng Xu
This paper describes a general construction of sets of vectors which are useful for the construction of multivariate interpolating wavelets. The specific example of bivariate interpolating wavelets on a triangle is presented to illustrate the general construction.
On Perturbed Isometries Between the Positive Cones of Certain Continuous Function SpacesResults in Mathematics - Tập 78 - Trang 1-15 - 2023
Longfa Sun, Yinghua Sun, Shenghua Wang
Let X, Y be two compact Hausdorff perfectly normal spaces (in particular, compact metrizable spaces), C(X) be the real Banach space of all continuous functions on X, and
$$C_+(X)$$
be the positive cone of C(X). In this paper, we show that if there exists a
...... hiện toàn bộ