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

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

During the educational yr 1986-87, the collage of Illinois was once host to a symposium on mathematical research which was once attended by means of a number of the major figures within the box. This e-book arises out of this detailed 12 months and lays emphasis at the synthesis of contemporary and classical research on the present frontiers of data. The contributed articles by way of the individuals hide the gamut of mainstream issues. This publication should be necessary to researchers in mathematical research.

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

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Ll X G ~ ll(f mnnp llgllq D 3. Marcel Riesz's theorem on conjugate functions. 1) Preliminaries. Let a 1 and a 2 be complex numbers. Consider the function m defined on IR by if s> 0; if s=O; if s

Dokl. 30(1984), 362-367. V. Peller, A description of Hankel operators of class Sp for p > 0, an investigation of the rate of rational approximation, and other applications, Math. USSR Sbornik 50(1985), 465-494. V. Peller, Vectorial Hankel operators, commutators and related operators on the Schatten-von Neumann class 1p' Integral Equations and Operator Theory 5(1982), 245-272. V. V. Khrushchev, Hankel operators, best approximations, and stationary 53-124. Gaussian processes, Russian Math. C. Power, "Hankel operators on Hilbert spaces", Res.

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. London Math. Soc. (2) 33(1986), 351h'364. R. Coifman and R. Rochberg, Representation theoremes for holomorphic and harmonic functions on LP, Asterique 77(1980), 11-66. R. Coifman, R. Rochberg and G. WeiBB, Factorization theorems for Hardy spaces in several variables, Ann. of Math. 103(1976), 611-635. [F) S. Fisher, "Function Theory on Planar Domains," Wiley-Interscience, John Wiley & Sons, New York, 1983.

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