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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
Continuity of infinitely degenerate weak solutions via the trace method
Lyudmila Korobenko, Eric T. Sawyer
In 1971 Fediĭ proved the remarkable theorem that the linear second order partial differential operator in the plane with coefficients 1 and f^2 is hypoelliptic provided that f is s…
math.CA2020
A two weight inequality for Calderón-Zygmund operators on spaces of homogeneous type with applications
Xuan Thinh Duong, Ji Li, Eric T. Sawyer +3
Let be a space of homogeneous type in the sense of Coifman and Weiss, i.e. is a quasi metric on and is a positive measure satisfying the doubling condition. S…