The Illinois Journal of Mathematics was founded in 1957 by R. Baer, J.L. Doob, A. Taub, G. Whitehead, and O. Zariski. The inaugural volume featured papers of many of the world's leading figures in the key areas of mathematics at the time. Since its inception, the IJM has published many influential papers, most notably the proof of the Four Color Conjecture by K. Appel and W. Haken. Distinguished researchers such as J. Bourgain, A. Calderon, S.S. Chern, H. Kesten, and K. Uhlenbeck have served as Editors of the IJM.

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### Volume 39, Issue 2

#### Publication Date: Summer 1995

Frontmatter

Distribution of functions in abstract $H^{1}$

Florence Lancien; 181-186

On a special Schauder basis for the Sobolev spaces $W_{0}^{1,p}(\Omega)$

Hamid Bellout; 187-195

A generalized jensen's inequality for bounded analytic functions

Bernard Beauzamy; 196-203

A note on conformal vector fields and positive curvature

DaGang Yang; 204-211

Complemented Hilbertian subspaces in rearrangement invariant function spaces

Yves Raynaud; 212-250

The number of elements required to determine $(p,1)$-summing norms

G. J. O. Jameson; 251-257

The factorization of $A(z)+B(w)$ under composition

Lee A. Rubel and Chung-Chun Yang; 258-270

A note about the Veronese cone

Gary R. Lawlor and Timothy A. Murdoch; 271-277

Approximate versions of Cauchy's functional equation

J. Ralph Alexander, Charles E. Blair and Lee A. Rubel; 278-287

A generalization of Mumford's theorem, II

James D. Lewis; 288-304

Boundary values of analytic functions in the Banach space $P^{t}(\sigma)$ on crescents

James Zhijian Qiu; 305-322

Some remarks on the corona problem on strongly pseudoconvex domains in $\mathbf{C}^{n}$

Steven G. Krantz and Song-Ying Li; 323-349

Correction to my paper “Closed-form solutions of some partial differential equations via quasi-solutions II”

Lee A. Rubel; 350

Backmatter