Marcinkiewicz integral operators constitute a central class of singular integral operators in modern harmonic analysis. These operators, defined through oscillatory integrals with rough kernels, play ...

The study of inequalities and integral operators in convex analysis has evolved into a rich field that unites classical methods with modern extensions. At its core, convex analysis examines functions ...

The Journal of Integral Equations and Applications, Vol. 15, No. 3 (FALL 2003), pp. 263-320 (58 pages) ...

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 ...