Results 51 to 60 of about 644 (181)
Null projections and noncommutative function theory in operator algebras
Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
wiley +1 more source
A general theory of inverse welfare functions
This paper develops a general theory to recover the inverse welfare function that rationalizes a given tax schedule as optimal. Our theory allows for complex environments including the presence of multidimensional tax schedules, bunching/jumping behavior, optimization frictions, general equilibrium effects, and externalities.
Katy Bergstrom, William Dodds
wiley +1 more source
Multilinear Riesz Potential on Morrey-Herz Spaces with Non-Doubling Measures
The authors consider the multilinear Riesz potential operator defined by , where denotes the -tuple , the nonnegative integers with , , and is a nonnegative -dimensional Borel measure.
Tao Xiangxing, Zheng Taotao, Shi Yanlong
doaj +2 more sources
For the Riesz potential operator there are proved weighted estimates within the framework of weighted Lebesgue spaces with variable exponent. In case is a bounded do-main, the order potential is allowed to be variable as well.
Boris G. Vaculov +2 more
doaj
A comparison of Bessel and Riesz potentials
How large is the Bessel potential, $G_{α,μ}f$, compared to the Riesz potential, $I_αf$? In this paper, we show that if $I_αf\in L^p$ with $0<α<1$ and $p>1$, then the following interpolation bound holds: \[\Vert G_{α,μ}f\Vert_p\leq C(ω(I_αf,1/μ)_p)^α\cdot\Vert I_αf\Vert^{1-α}_p.\] Here $ω(f,t)_p$ is the $L^p$ modulus of continuity. However, if
openaire +2 more sources
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley +1 more source
Weighted Morrey Spaces Related to Certain Nonnegative Potentials and Riesz Transforms
Let L=-Δ+V be a Schrödinger operator, where Δ is the Laplacian on Rd and the nonnegative potential V belongs to the reverse Hölder class RHq for q≥d. The Riesz transform associated with the operator L=-Δ+V is denoted by R=∇(-Δ+V)-1/2 and the dual Riesz ...
Hua Wang
doaj +1 more source
A Continuity Theorem for Generalized Riesz Potentials
Let \(0< \alpha< n\), \(1/r< 1-{\alpha \over n}\) and let \(k\in L^r (S_{n-1})\), where \(S_{n-1}\) is the unit sphere in \(\mathbb{R}^n\). The generalized Riesz kernel \(K_\alpha\) is given by \(K_\alpha (x)= k ({x\over {|x|}} )|x|^{\alpha -n}\), \(x\in \mathbb{R}^n- \{0\}\).
openaire +1 more source
Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin +5 more
wiley +1 more source
Riesz potentials in the local variable Morrey-Lorentz spaces and some applications
In this paper, we prove the boundedness of the Riesz potential ...
Canay Aykol, J. Javanshir Hasanov
doaj +1 more source

