By Ronald G. Douglas, Steven G. Krantz, Eric T. Sawyer, Sergei Treil, Brett D. Wick

The goal of the corona workshop was once to contemplate the corona challenge in either one and a number of other advanced variables, either within the context of functionality conception and harmonic research in addition to the context of operator thought and practical research. It was once held in June 2012 on the Fields Institute in Toronto, and attended via approximately fifty mathematicians. This quantity validates and commemorates the workshop, and files the various rules that have been constructed within.

The corona challenge dates again to 1941. It has exerted a robust impression over mathematical research for almost seventy five years. there's fabric to aid deliver humans up to the mark within the most up-to-date rules of the topic, in addition to historic fabric to supply heritage. really noteworthy is a heritage of the corona challenge, authored by way of the 5 organizers, that gives a distinct glimpse at how the matter and its many alternative ideas have developed.

There hasn't ever been a gathering of this type, and there hasn't ever been a quantity of this type. Mathematicians—both veterans and newcomers—will make the most of studying this booklet. This quantity makes a distinct contribution to the research literature and may be a precious a part of the canon for a few years to come.

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Math. 232 (2013), no. 1, 121–141. 18. ——, An interpolation problem for bounded analytic functions, Amer. J. Math. 80 (1958), 921–930. 19. ——, Interpolations by bounded analytic functions and the corona problem, Ann. of Math. (2) 76 (1962), 547–559. A History of the Corona Problem 27 20. Urban Cegrell, Generalisations of the corona theorem in the unit disc, Proc. Roy. Irish Acad. Sect. A 94 (1994), no. 1, 25–30. 21. ——, A generalization of the corona theorem in the unit disc, Math. Z. 203 (1990), no.

Pascale Vitse, A few more remarks on the operator valued corona problem, Acta Sci. Math. (Szeged) 69 (2003), no. 3–4, 831–852. 84. ——, A tensor product approach to the operator corona problem, J. Operator Theory 50 (2003), no. 1, 179–208. N 85. Jie Xiao, The @-problem for multipliers of the Sobolev space, Manuscripta Math. 97 (1998), no. 2, 217–232. 86. Yuan Xu, In memoriam: Donald J. Newman (1930–2007), J. Approx. Theory 154 (2008), no. 1, 37–58. Corona Problem for H 1 on Riemann Surfaces Alexander Brudnyi Abstract In this paper we survey some results and methods related to the famous corona problem for algebras H 1 of bounded holomorphic functions on Caratheodory hyperbolic Riemann surfaces.

24 (2013), no. 2, 313–326. 40. , Cambridge Tracts in Mathematics, vol. 115, Cambridge University Press, Cambridge, 1998. With two appendices by V. P. Havin [Viktor Petrovich Khavin]. 41. ——, Normed domains of holomorphy, Int. J. Math. Math. Sci. (2010), 18 pp. 42. , Birkhäuser, Boston, 2006. 43. Kai-Ching Lin, On the H p solutions to the corona equation, Bull. Sci. Math. 118 (1994), no. 3, 271–286. 44. ——, On the constants in the corona theorem and the ideals of H 1 Houston J. Math. 19 (1993), no.