02882nam a22004935i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001200172072001700184072002300201072001600224100008900240245012000329250001800449264007300467300003500540336002600575337002600601338003600627347002400663490004100687520103500728650004301763650002501806650004301831650004401874650005801918650002501976650002902001700008602030710003402116773002602150776003602176776003602212830004802248856004602296912001402342912001502356999001702371978-3-031-49885-5DE-He21320251030111455.0cr nn 008mamaa240227s2024    sz |    s    |||| 0|eng d  a97830314988559978-3-031-49885-57 a10.1007/978-3-031-49885-52doi 4aQA331.7 7aPBKD2bicssc 7aMAT0400002bisacsh 7aPBKD2thema1 aJerbashian, Armen M.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut97222110aFunctions of Omega-Bounded Typeh[electronic resource] :bBasic Theory /cby Armen M. Jerbashian, Joel E. Restrepo.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Birkhäuser,c2024.  aXVII, 360 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aFrontiers in Mathematics,x1660-8054  aThe book gives the basic results of the theory of the spaces Apω of functions holomorphic in the unit disc, halfplane and in the finite complex plane, which depend on functional weights ω permitting any rate of growth of a function near the boundary of the domain. This continues and essentially improves M.M. Djrbashian's theory of spaces Apα (1945) of functions holomorphic in the unit disc, the English translation of the detailed and complemented version of which (1948) is given in Addendum to the book. Besides, the book gives the ω-extensions of M. M. Djrbashian's two factorization theories of functions meromorphic in the unit disc of 1945-1948 and 1966-1975 to classes of functions delta-subharmonic in the unit disc and in the half-plane. The book can be useful for a wide range of readers. It can be a good handbook for Master, PhD students and Postdoctoral Researchers for enlarging their knowledge and analytical methods, as well as a useful resource for scientists who want to extend their investigation fields. 0aFunctions of complex variables.972222 0aFunctional analysis. 0aPotential theory (Mathematics).97222314aFunctions of a Complex Variable.97222424aSeveral Complex Variables and Analytic Spaces.97222524aFunctional Analysis.24aPotential Theory.9722261 aRestrepo, Joel E.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut9722272 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303149884808iPrinted edition:z9783031498862 0aFrontiers in Mathematics,x1660-805497222840uhttps://doi.org/10.1007/978-3-031-49885-5  aZDB-2-SMA  aZDB-2-SXMS  c58033d58033