A new class of function spaces generalizing the Arias-de-Reyna space
This paper studies the structure and properties of a rearrangement-invariant quasi-Banach space $QA_{φ,ψ}$ which generalizes the classical space $QA$ introduced by Arias-de-Reyna in connection with the study of the pointwise almost everywhere convergence of Fourier series. We present basic properties of $QA_{φ,ψ}$ and explore the relationship between $QA_{φ,ψ}$ and other rearrangement-invariant Banach spaces.
math.FA↗