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 ...

This is a preview. Log in through your library . Abstract Coercivity is an important concept for proving existence and uniqueness of solutions to variational problems in Hilbert spaces. But while ...

This is a preview. Log in through your library . Abstract ABSTRACT. We introduce the boundary integral operator induced from the fractional Laplace equation on the boundary of a bounded smooth domain.