Strong Type Estimation from Weak Type Estimates for Some Integral Operators
We show that if an integral operator T is of weak type (p, p) for some p ∈ [1, ∞) then T is of ‘strong’ type (q, q), namely T is L q-bounded, for all q ∈ (p,∞) under some additional assumptions for the operator T and the measure µ.
KeywordsIntegral Operator Singular Integral Operator Measurable Subset Weak Type Maximal Theorem
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