Results 51 to 60 of about 99,331 (262)
Convolution Algebraic Structures Defined by Hardy-Type Operators
The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+).
Pedro J. Miana +2 more
doaj +1 more source
The range of convolution operators [PDF]
Es sei G eine lokalkompakte, nicht-kompakte Gruppe und f eine p-fach \((p>1)\) integrierbare Funktion auf G. Der Autor zeigt, daß der Unterraum \(L^ 1(G)*f\) von \(L^ p(G)\) nicht abgeschlossen ist, falls f von Null verschieden ist. Mit Hilfe des Faktorisierungssatzes kann man daraus herleiten, daß auch M(G)*f nicht abgeschlossen ist, wobei M(G) die ...
openaire +3 more sources
ABSTRACT Objective Peripheral neuropathies contribute to patient disability but may be diagnosed late or missed altogether due to late referral, limitation of current diagnostic methods and lack of specialized testing facilities. To address this clinical gap, we developed NeuropathAI, an interpretable deep learning–based multiclass classification ...
Chaima Ben Rabah +7 more
wiley +1 more source
On the R-boundedness of stochastic convolution operators [PDF]
The $R$-boundedness of certain families of vector-valued stochastic convolution operators with scalar-valued square integrable kernels is the key ingredient in the recent proof of stochastic maximal $L^p$-regularity ...
van Neerven, Jan +2 more
core
ABSTRACT Background Myasthenia gravis (MG) is a rare disorder characterized by fluctuating muscle weakness with potential life‐threatening crises. Timely interventions may be delayed by limited access to care and fragmented documentation. Our objective was to develop predictive algorithms for MG deterioration using multimodal telemedicine data ...
Maike Stein +7 more
wiley +1 more source
This article investigated the inclusion properties of Touchard polynomials $ Y_m(p, z) $ and generalized Bessel functions of the first kind $ \mathcal{G}_a(z) $, along with their associated convolution and integral operators, within the analytic function
Manas Kumar Giri +3 more
doaj +1 more source
Strongly Singular Convolution Operators on Herz-Type Hardy Spaces with Variable Exponent
We investigate the boundedness of the strongly singular convolution operators on Herz-type Hardy spaces with variable exponent.
Hongbin Wang, Dunyan Yan
doaj +1 more source
On some operator equations in the space of analytic functions and related questions; pp. 81–87 [PDF]
We investigate extended eigenvalues, extended eigenvectors, and cyclicity problems for some convolution operators. By using the Duhamel product technique, we also estimate the norm of the inner derivation operator ÎA.
Mehmet Gürdal, Filiz Şöhret
doaj +1 more source
Littlewood-Paley-Stein type square functions based on Laguerre semigroups [PDF]
We investigate g-functions based on semigroups related to multi-dimensional Laguerre function expansions of convolution type. We prove that these operators can be viewed as Calderon-Zygmund operators in the sense of the underlying space of homogeneous ...
Szarek, Tomasz
core
Sharp estimates for potential operators associated with Laguerre and Dunkl-Laguerre expansions
We study potential operators associated with Laguerre function expansions of convolution and Hermite types, and with Dunkl-Laguerre expansions. We prove qualitatively sharp estimates of the corresponding potential kernels.
Nowak, Adam, Stempak, Krzysztof
core +1 more source

