AbstractMaking use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce two novel subclasses Ω𝑎,𝑐(𝑝, 𝐴, 𝐵, 𝜆) and Ω a,c + (p,A,B,λ) of ...

Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...

For certain piecewise linear plane curves Γ and convex functions Φ we address the question of whether the maximal operator along Γ is of weak type Φ(L). For example, when Γ is the graph of the ...

I've been grading calculus exams this week, and even though my students did quite well overall there were a couple of errors that I see every semester. Errors that make mathematicians' heads explode.