On smallest and largest spaces among rearrangement-invariant p-Banach function spaces (0<p<1) [PDF]
Let \(\mu\) be the Lebesgue measure on \((0,\infty)\) and \(E(\mu)\) a rearrangement-invariant \(p\)-Banach space ...
Bastero, J., Hudzik, H., Steinberg, A.M.
openaire +2 more sources
Optimal control of stochastic partial differential equations in Banach spaces [PDF]
In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio
core +7 more sources
Some Weighted Martingale Inequalities on Rearrangement Invariant Quasi-Banach Function Spaces [PDF]
The Burkholder-Davis-Gundy’s inequalities and the sharp maximal function inequalities for martingale inequalities are established for rearrangement invariant quasi-Banach function spaces. Martingale inequalities very important in mathematic Martingale inequalities are worked by very mathematicians.
Akın, Lütfi, AKIN, Lutfi
core +4 more sources
An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]
We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property
Alistair Bird +3 more
core +4 more sources
Admissibility and Non-Uniform Dichotomy for Differential Systems [PDF]
The problem of nonuniform exponential dichotomy of linear differential systems in Banach spaces is discussed. It is established a connection between the admissibility of a pair of certain function spaces which are translations invariant, on one hand ...
Preda, Ciprian I, Dragomir, Sever S
core +6 more sources
Rearrangements of Measurable Functions [PDF]
Let (X, Λ, μ) be a measure space and let M(X, μ) denote the set of all extended real valued measurable functions on X. If (X1, Λ1, μ1) is also a measure space and f ϵ M(X, μ) and g ϵ M(X1, μ1), then f and g are said to be equimeasurable (written f ~ g ...
Day, Peter William
core +1 more source
A Quantile Model of Firm Investment
ABSTRACT Are firms risk averse? We propose a dynamic model of firm investment under uncertainty that captures firms' risk attitudes through quantile preferences. The firm maximizes its present value, defined as current profits and investment plus the discounted value of the τ$\tau$‐quantile of its value next period.
Heitor Almeida +3 more
wiley +1 more source
Metric spaces with small rough angles and the rectifiability of rough self‐contracted curves
Abstract The small rough angle (SRA$\operatorname{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small. In the first part of the paper, we develop the theory of metric spaces (X,d)$(X,d)$ satisfying the SRA(α)$\operatorname{SRA}(\alpha)$ condition for some
Estibalitz Durand Cartagena +1 more
wiley +1 more source
Reverses of the Triangle Inequality in Banach Spaces [PDF]
Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained.
Dragomir, Sever S
core +7 more sources
A new approach for the analysis of evolution partial differential equations on a finite interval
Abstract We show that, for certain evolution partial differential equations, the solution on a finite interval (0,ℓ)$(0,\ell)$ can be reconstructed as a superposition of restrictions to (0,ℓ)$(0,\ell)$ of solutions to two associated partial differential equations posed on the half‐lines (0,∞)$(0,\infty)$ and (−∞,ℓ)$(-\infty,\ell)$.
Türker Özsarı +2 more
wiley +1 more source

