Weighted norm inequalities for the conjugate function and Hilbert transform

1973/01/01 by Richard Hunt, Richard A. Hunt, Benjamin Muckenhoupt +2 · 33 citations
Mathematics · #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Spectral Theory in Mathematical Physics

paper · doi:10.1090/s0002-9947-1973-0312139-8

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.

Citations

• Hp spaces of several variables

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