Harmonic analysis is a broad field central to understanding the representation of functions through basic waves and their associated transformations, with profound connections to Fourier analysis, ...

Let α and β be bounded measurable functions on the unit circle 𝕋. Then the singular integral operator Sα,β is defined by Sα,βf = αP+f + βP–f, (f ∈ L2(𝕋)) where P+ is an analytic projection and P– is ...

Multi-parameter Hardy spaces provide a refined framework for analysing functions and operators in settings where multiple scales or dimensions interact simultaneously. This theory extends the ...

The class of singular integral operators whose kernels satisfy the usual smoothness conditions is studied. Let such an operator be denoted by $K$. We establish ...