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 . Journal of Integral Equations and Applications is an international journal devoted to research in the general area of integral equations and their ...
It is known that the fractional integral operator Iα based on a symmetric Markovian semigroup with Varopoulos dimension d is bounded from Lp to Lq, if 0 < α < d, 1 < p < q < ∞ and −d/p + α = −d/q, ...