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math.CA2012★ 3 cited
Square functions with general measures
Henri Martikainen, Mihalis Mourgoglou
We characterize the boundedness of square functions in the upper half-space with general measures. The short proof is based on an averaging identity over good Whitney regions.
math.CA2012★ 2 cited
Non-homogeneous T1 theorem for bi-parameter singular integrals
Tuomas Hytönen, Henri Martikainen
We prove a non-homogeneous T1 theorem for certain bi-parameter singular integral operators. Moreover, we discuss the related non-homogeneous Journe's lemma and product BMO theory.