Multilinear Riesz potential on Morrey-Herz spaces with non-doubling measures.
Boundedness on Hardy-Sobolev spaces for hypersingular Marcinkiewicz integrals with variable kernels.
Doubling properties and unique continuation at the boundary for elliptic operators with singular magnetic fields
Let u be a solution to a second order elliptic equation with singular magnetic fields, vanishing continuously on an open subset Γ of the boundary of a Lipschitz domain. An elementary proof of the doubling property for u² over balls centered at some points near Γ is presented. Moreover, we get the unique continuation at the boundary of Dini domains for elliptic operators.
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