Two Counterexamples in the Theory of Singular Integrals
نویسنده
چکیده
In these lectures we discuss examples that are relevant to two questions in the theory of singular integrals. The first question is the L boundedness of the maximal operator formed by dilates of Mikhlin-Hörmander multipliers, while the second concerns the L boundedness of a well-known object, the classical L-bounded Calderón-Zygmund homogeneous singular integral associated with an integrable function on the sphere that is very rough.
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