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

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 ...

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 ...

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 ...