3 papers
math.CA2020
A two weight local theorem for -dimensional fractional singular integrals
Christos Grigoriadis, Michail Paparizos, Eric T. Sawyer +2
We obtain a local two weight theorem with an energy side condition for higher dimensional fractional Calderón-Zygmund operators. The proof follows the general outline of the p…
math.CA2020
Necessary/sufficient conditions in weighted theory
Christos Grigoriadis
We provide an essentially complete dictionary of all implications among the basic and fundamental conditions in weighted theory such as the doubling, one weight A_p(w), A_\infty an…
math.CA2020
Counterexample to the off-testing condition in two dimensions
C. Grigoriadis, M. Paparizos
In proving the local Theorem for two weights in one dimension [SaShUT] Sawyer, Shen and Uriarte-Tuero used a basic theorem of Hytönen [Hy] to deal with estimates for measures…