An Introduction to the Method of Refinements 2 Jonathan Hickman December 21 , 2014 1 Main Theorem
نویسنده
چکیده
Proposition 2. A is restricted weak-type (pd, qd). Proof (Proposition 2 ⇒ Theorem 1). Proposition 2 corresponds to an estimate at the vertex Pd of the trapezium. Since A and the adjoint operator A ∗ have the same mapping properties, one concludes there is a restricted weak-type estimate for the exponents corresponding to the vertex P ′ d. By localisation we know A is type (1, 1) and type (∞,∞) and so real interpolation yields the whole range of estimates stated in Theorem 1.
منابع مشابه
An Introduction to the Method of Refinements
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