Banach Spaces of Analytic Functions

Aclassicofpuremathematics，thisadvancedgraduate-leveltextexplorestheintersectionoffunctionalanalysisandanalyticfunctiontheory.Closeinspirittoabstractharmonicanalysis，itisconfinedtoBanachspacesofanalyticfunctionsintheunitdisc.
Theauthordevotesthefirstfourchapterstoproofsofclassicaltheoremsonboundaryvaluesandboundaryintegralrepresentationsofanalyticfunctionsintheunitdisc，includinggeneralizationstoDirichletalgebras.ThefifthchaptercontainsthefactorizationtheoryofHpfunctions，adiscussionofsomepartialextensionsofthefactorization，andabriefdescriptionoftheclassicalapproachtothetheoremsofthefirstfivechapters.TheremainderofthebookaddressesthestructureofvariousBanachspacesandBanachalgebrasofanalyticfunctionsintheunitdisc.
Enhancedwith100challengingexercises，abibliography，andanindex，thistextbelongsinthelibrariesofstudents，professionalmathematicians，aswellasanyoneinterestedinarigorous，high-leveltreatmentofthistopic.，