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Strong Type Estimation from Weak Type Estimates for Some Integral Operators

  • Nobuhiko Fujii
Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 7)

Abstract

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.

Keywords

Integral Operator Singular Integral Operator Measurable Subset Weak Type Maximal Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Nobuhiko Fujii
    • 1
  1. 1.Department of MathematicsTokai UniversityShimizu ShizuokaJapan

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