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Weighted norm inequalities for the conjugate function and Hilbert transform

Transactions of the American Mathematical Society · 1973 · Vol. 176 · pp. 227–227
Richard A. HuntBenjamin MuckenhouptRichard L. Wheeden

Abstract

0)a-0<C f* \fid)\pWÍ6)dd. J -n J -n(c) There is a constant C, independent of f, such that for every f of period 277, f [Tfid)]pwid)dd<c (" \fid)\p wid)dd. J-n J-n(d) There is a constant C, independent of f and a, such that for every f of period 2t7 and every a > 0, f Wid)d6< Caf P \fíd)\pWÍ6)dd.

Advanced Harmonic Analysis ResearchAlgebraic and Geometric AnalysisSpectral Theory in Mathematical PhysicsMathematicsCombinatoricsPiBounded functionNorm (philosophy)Mathematical analysisGeometry

Funding

  • National Science Foundation
  • Alfred P. Sloan Foundation
Citations
713
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7.41
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References
Weighted norm inequalities for the Hardy maximal function
Transactions of the American Mathematical Society · 1972 · 1,690 citations
Weighted Norm Inequalities for the Hardy Maximal Function
Transactions of the American Mathematical Society · 1972 · 474 citations
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