LEADER 03093nam 2200601 450 001 996466510803316 005 20220907121905.0 010 $a3-540-39175-4 024 7 $a10.1007/BFb0082810 035 $a(CKB)1000000000437493 035 $a(SSID)ssj0000321282 035 $a(PQKBManifestationID)12116010 035 $a(PQKBTitleCode)TC0000321282 035 $a(PQKBWorkID)10263534 035 $a(PQKB)10073495 035 $a(DE-He213)978-3-540-39175-3 035 $a(MiAaPQ)EBC5584909 035 $a(Au-PeEL)EBL5584909 035 $a(OCoLC)1066177211 035 $a(MiAaPQ)EBC6842041 035 $a(Au-PeEL)EBL6842041 035 $a(OCoLC)851818945 035 $a(PPN)155182730 035 $a(EXLCZ)991000000000437493 100 $a20220907d1988 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAnalytic functions smooth up to the boundary /$fNikolai A. Shirokov 205 $a1st ed. 1988. 210 1$aBerlin, Germany :$cSpringer,$d[1988] 210 4$dİ1988 215 $a1 online resource (CCXXVIII, 222 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1312 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-19255-7 311 $a3-540-19255-7 327 $aNotations -- The (F)-property -- Moduli of analytic functions smooth up to the boundary -- Zeros and their multiplicities -- Closed ideals in the space X pq ? (?,?). 330 $aThis research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sense, up to the boundary. The peculiar properties of such a factorization are investigated for the most common classes of Lipschitz-like analytic functions. The book sets out to create a satisfactory factorization theory as exists for Hardy classes. The reader will find, among other things, the theorem on smoothness for the outer part of a function, the generalization of the theorem of V.P. Havin and F.A. Shamoyan also known in the mathematical lore as the unpublished Carleson-Jacobs theorem, the complete description of the zero-set of analytic functions continuous up to the boundary, generalizing the classical Carleson-Beurling theorem, and the structure of closed ideals in the new wide range of Banach algebras of analytic functions. The first three chapters assume the reader has taken a standard course on one complex variable; the fourth chapter requires supplementary papers cited there. The monograph addresses both final year students and doctoral students beginning to work in this area, and researchers who will find here new results, proofs and methods. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1312 606 $aAnalytic functions 615 0$aAnalytic functions. 676 $a515.73 700 $aShirokov$b Nikolai A.$f1948-$057122 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466510803316 996 $aAnalytic functions smooth up to the boundary$978600 997 $aUNISA