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 ...

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, ...

In previous work the author found solutions to the Toda equations that were expressed in terms of determinants of integral operators. Here it is observed that a simple variant yields solutions to the ...

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.