By E. Berkson, T. Peck, J. Uhl

ISBN-10: 0521364361

ISBN-13: 9780521364362

In the course of the educational 12 months 1986-87, the collage of Illinois was once host to a symposium on mathematical research which was once attended by means of the various top figures within the box. This ebook arises out of this detailed yr and lays emphasis at the synthesis of contemporary and classical research on the present frontiers of data. The contributed articles by means of the individuals conceal the gamut of mainstream themes. This booklet may be necessary to researchers in mathematical research.

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**Extra info for Analysis at Urbana: Volume 1, Analysis in Function Spaces**

**Example text**

A. A. H. Zhu, Toeplitz operators and function theory in n-dimensions, in Pseudo-differential operators, Lecture Notes in Mathematics vol. 1256, 28-35, Springer-Verlag, 1987. A. A. H. Zhu, BMO on the Bergman spaces of the classical domains, Bull. Amer. Math. Soc. 17( 1987), 133-136. A. A. H. Zhu, BMO in the Bergman metric on bounded symmetric domains, preprint, 1987. (BL) J. Bergh and L. Lofstrom, "Interpolation Spaces, An Introduction", Springer-Verlag, Berlin, New York, 1976. F. Bonsai, Hankel operators on the Bergman space for the disc, J.

Weiss' results. More precisely, let integers such that ~+ 1 /~ >1 -a + ck {~} be a sequence of positive >0 , c and 0 ~ < 1/2. ) / --+ co and that 9 € n=1 T and n ~ 0, t an = 0 (Bn n -a( log Bn) -13), ~ 0, define S(t) where we set = S(t,9) = Sn(9), if and s0 = 0. Takahashi's =0 B0 B! 13 > 1/2. + 1 . s. as t --+co. 6). 4) also proved in [25], is the LIL for lacunary power series . in D. Let F(z) = l ~z~ where the ~ are complex numbers and the . k=1 as in M. Weiss' LIL. For < p < 1. 0 set BP = [ ll~l 2 p2 ·~r/2.

6). 4) also proved in [25], is the LIL for lacunary power series . in D. Let F(z) = l ~z~ where the ~ are complex numbers and the . k=1 as in M. Weiss' LIL. For < p < 1. 0 set BP = [ ll~l 2 p2 ·~r/2. 7) IF(pei9ll limsup - 1 Pl 1 IB2 Ioglog B ~ p almost everywhere on T. 7) as IF(pei 9 )1 limsup ~====;=·=-=-===:-==:=:; 1 1 Pl 1 Jlog --1-p logloglog --1-p almost everywhere on 1 T. The lacunary power series F(z) "'\ L z2k is an example of a function in k=1 the Bloch class. In his remarkable paper "On the distortion of boundary sets under conformal mapping," [16] N.

### Analysis at Urbana: Volume 1, Analysis in Function Spaces by E. Berkson, T. Peck, J. Uhl

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