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 ...

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.