Discrete hilbert transforms and rearrangement invariant sequence spaces

References

• Andersen , K.F. 1970 . Discrete Hilhert transformations on rearrangement invariant sequence spaces , University of Toronto : Thesis .
   Google Scholar
• Boyd , D. W. 1967 . The Hilbert transform on rearrangement-invariant spaces . Canad. J. Math , 19 : 599 – 616 .
   Web of Science ®Google Scholar
• Boyd , D. W. 1969 . Indices of function spaces and their relationship to interpolation . Canad, J. Math , 21 : 1245 – 1254 .
   Web of Science ®Google Scholar
• Calderon , A. P. and Zygmund , A. 1953 . Singular integrals and periodic functions . Studio. Math , 14 : 249 – 271 .
   Google Scholar
• Duffin , R. J. 1956 . Uniform convexity in function spaces . Duke Math, J , 23 : 335 – 363 .
   Web of Science ®Google Scholar
• Halperin . 1954 . Uniform convexity in function spaces . Duke Math, J , 21 : 195 – 204 .
   Web of Science ®Google Scholar
• Kerman , R. A. 1969 . Conjugate functions and rearrangement invariant spaces , University of Toronto : Thesis .
   Google Scholar
• Lorentz , G. G. 1950 . On the theory of spaces A . Pac. J, Math , 1 : 411 – 429 .
   Google Scholar
• Luxemburg , W. A. J. 1956 . Banach function spaces , Assen : Thesis, Delft Technical University .
   Google Scholar
• Luxemburg , W.A.J. 1968 . On the spectra of certain Laurent operators on Orlicz spaces . Studia Math , 31 : 273 – 285 .
   Web of Science ®Google Scholar
• Nei , R. and Weiss , G. 1963 . The Hilbert transform and rearrangement of functions . Studia Math , 23 : 189 – 198 .
   Google Scholar
• Riesz , M. 1927 . Sur les fonctions conjugees . Math. Zeit , 27 : 218 – 244 .
   Google Scholar
• Ryan , R. 1963 . Conjugate functions in Orlicz spaces . Pac. J. Math , 13 : 1371 – 1377 .
   Web of Science ®Google Scholar
• Stein , E.M. and Weiss , G. 1959 . An extension of a theorem of Marcinkiewicz and some of its applications . Math. Meek , 8 : 263 – 284 .
   Web of Science ®Google Scholar
• Titchmarsh , E. C. 1926 . Reciprocal formulae involving series and integrals . Math. Zeit , 25 : 321 – 347 .
   Google Scholar