Growth of the area function for multipliers of analytic fractional cauchy transforms

References

• Dansereau , A. 1992 . General integral families and multipliers . Ph.D. Thesis , Suny at Albany
   Google Scholar
• Erdös , P. , Shapiro , H.S. and Shields , A.L. 1965 . Large and small subspaces of Hilbert space . Michigan Math. J , 12 : 169 – 178 .
   Google Scholar
• Hallenbeck , D.J. and Samotji , K. 1993 . On Cauchy integrals of logarithmic potentials and their multipliers . J. Math. Anal. Appl , 174 : 614 – 634 .
   Web of Science ®Google Scholar
• Hallenbeck , D.J. , MacGregor , T.H. and Samotji , K. 1996 . Fractional Cauchy transforms, inner functions and multipliers . Proc. London. Math. Soc , 72 ( 3 ) : 157 – 187 .
   Google Scholar
• Hallenbeck D.J. Samotij K. The Growth of Derivations of Multipliers of Fractional Cauchy Transforms (to appear)
   Google Scholar
• Hibschweiler , R.A. and MacGregor , T.H. 1992 . Multipliers of families of Cauchy Stieltjes transforms . Trans. Amer. Math. Soc , 331 ( 3 ) : 377 – 394 .
   Web of Science ®Google Scholar
• Vinogradov , S.A. 1980 . Properties of multipliers of Cauchy Stieltjes integrals and some factorization problems for analytic functions . Amer. Math. Sóc. Transl , 115 ( 2 ) : 1 – 32 .
   Google Scholar