Results 41 to 50 of about 414,180 (260)
On the compactness and the essential norm of operators defined by infinite tridiagonal matrices
In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander+2 more
doaj +1 more source
Regularity of the Hardy-Littlewood maximal operator on block decreasing functions
We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decreasing functions of special bounded variation to functions with integrable
Aldaz, J. M., Lazaro, J. Perez
core +1 more source
On absolutely norm attaining operators [PDF]
Submitted to a ...
D Venku Naidu, G Ramesh
openaire +4 more sources
Directional operators and mixed norms [PDF]
We present a survey of mixed norm inequalities for several directional operators, namely, directional Hardy-Littlewood maximal functions and Hilbert transforms (both appearing in the method of rotations of Calder'on and Zygmund), X-ray transforms, and directional fractional operators related to Riesz type potentials with variable kernel.
openaire +6 more sources
Norms and CB norms of Jordan elementary operators
To appear in Bull Sci ...
openaire +9 more sources
From omics to AI—mapping the pathogenic pathways in type 2 diabetes
Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan+2 more
wiley +1 more source
The authors establish the two-weight norm inequalities for the one-sided Hardy-Littlewood maximal operators in variable Lebesgue spaces. As application, they obtain the two-weight norm inequalities of variable Riemann-Liouville operator and variable Weyl
Caiyin Niu, Zongguang Liu, Panwang Wang
doaj +1 more source
Development of visible light‐sensitive human neuropsin (OPN5) via single amino acid substitution
The present study determines a key amino acid residue, Lys91, for defining UV sensitivity of human OPN5. Heterologous action spectroscopy of the wild type and K91 mutants of OPN5 in HEK293T cells reveals that substitution of Lys91 with neutral (alanine) or acidic amino acids (glutamic or aspartic acids) causes substantial shifts in spectral sensitivity
Yusuke Sakai+2 more
wiley +1 more source
On power bounded operators with holomorphic eigenvectors, II
In [U] (among other results), M. Uchiyama gave the necessary and sufficient conditions for contractions to be similar to the unilateral shift $S$ of multiplicity $1$ in terms of norm-estimates of complete analytic families of eigenvectors of their ...
Gamal', Maria F.
core +1 more source
Norm-attaining compact operators [PDF]
To appear in J. Funct. Anal.
openaire +3 more sources