Search
Search Results
-
Classification of Measurable Functions of Several Variables and Matrix Distributions
AbstractWe consider the notion of the matrix (tensor) distribution of a measurable function of several variables. On the one hand, this is an...
-
Measurable Spaces
This chapter introduces the fundamental notions of a σ-field, of a measure on a measurable space, and of a measurable function, which will be used in...
-
Measurable Functions and Random Variables
To study random variable in a more general setting, we introduce the notion of measurable functions. In probability theory, a random variable is a...
-
On Quasibases and Bases of Symmetric Spaces Consisting of Nonnegative Functions
AbstractBased on the study of the geometric properties of unconditional quasibasic sequences, we show that in an arbitrary symmetric space there...
-
Integration of Measurable Functions
In this chapter, we construct the Lebesgue integral of real-valued measurable functions with respect to a positive measure. After constructing the...
-
Compactness of sequences of warped product circles over spheres with nonnegative scalar curvature
Gromov and Sormani conjectured that a sequence of three dimensional Riemannian manifolds with nonnegative scalar curvature and some additional...
-
Multidimensional sliding window pringsheim convergence for measurable functions
Connor and Savas (Acta Math Hung 145:416–432, 2015) presented the concept of sliding window method. The main purpose of this article is to extend...
-
Ordinary Differential Equations with Measurable Inputs
In this chapter, we recall basic concepts and results of the theory of ordinary differential equations (ODEs) with measurable inputs (“Carathéodory...
-
Subclasses of Harmonic Functions with Nonnegative Harmonic Majorants in the Halfplane
In this chapter, we consider some \(\omega \)...
-
Harmonic functions with polynomial growth on manifolds with nonnegative Ricci curvature
Suppose ( M , g ) is a Riemannian manifold having dimension n , nonnegative Ricci curvature, maximal volume growth and unique tangent cone at infinity....
-
Talenti’s Comparison Theorem for Poisson Equation and Applications on Riemannian Manifold with Nonnegative Ricci Curvature
In this article, we prove Talenti’s comparison theorem for Poisson equation on complete noncompact Riemannian manifold with nonnegative Ricci...
-
Nonnegative solution of a class of double phase problems with logarithmic nonlinearity
This manuscript proves the existence of a nonnegative, nontrivial solution to a class of double-phase problems involving potential functions and...
-
Blow-up of nonnegative solutions of an abstract semilinear heat equation with convex source
We give a sufficient condition for non-existence of global nonnegative mild solutions of the Cauchy problem for the semilinear heat equation
... -
The Multiplicity of Nonnegative Nontrivial Solutions for p(x)-Kirchhoff Equation with Concave–Convex Nonlinearities
This paper is devoted to study a class of p ( x )-Kirchhoff equation with concave–convex nonlinearities. By means of perturbation technique and the...
-
Symmetric Spaces of Measurable Functions: Some New and Old Advances
The article is an extensive review in the theory of symmetric spaces of measurable functions.
It contains a number of new (recent) and old (known)...
-
-
Flows on measurable spaces
The theory of graph limits is only understood to a somewhat satisfactory degree in the cases of dense graphs and of bounded degree graphs. There is,...