Throughout the academic year 1986-87, the University of Illinois was host to a symposium on mathematical analysis which was attended by some of the leading figures in the field. This book arises out of this special year and lays emphasis on the synthesis of modern and classical analysis at the current frontiers of knowledge. The contributed articles by the participants cover the gamut of mainstream topics. This book will be essential to researchers in mathematical analysis.
1. Membership of Hankel operators on planar domains in unitary ideals J. Arazy; 2. A generalised Marcel Riesz theorem on conjugate functions N. Asmar and E. Hewitt; 3. Some results in analysis related to the law of the iterated logarithm R. Banuelos and C. Moore; 4. Fourier series, mean Lipschitz spaces and bounded mean oscillation P. Bourdon, J. Shapiro and W .Sledd; 5. A remark on the maximal function associated to an analytic vector field J. Bourgain; 6. Hankel operators on HP J. Cima and D. Stegenga; 7. Contractive projections on 1p spaces W. Davis and P. Enflo; 8. Contractive projections onto subsets of L1(0,1) P. Enflo; 9. Some Banach space properties of translation invariant subspaces of LP K. Hare and N. Tomczak-Jaegermann; 10. Random multiplications, random coverings, and multiplicative chaos J.-P. Kahane; 11. Wavelets and operators Y. Meyer; 12. On the structure of the graph of the Franklin analysing wavelet E. Berkson; 13. Boundededness of the canonical projection for Sobolev spaces generated by finite families of linear differential operators A. Pelczynski; 14. Remarks on L2 restriction theorems for Riemann manifolds C. Sogge.