Banachovy prostory funkcí

Abstract

N'a/ev prace: Banarhovy prostory fuiikci Autor: Jan Marko Katcdr;i: KaTedra inaleniaticke analy/y Yedouci bakalarske prace: doc1. UN Dr. Lubus Pick. CSc.. DSc. t'-inail vedoudho: Lubos.Pick'i'inff.cuni.c/ Abst.ra.kt.: V t.ejto ])riici su popisane xakladne vlastnosti Baimchovho priostoru funkcii. jeho podpriestor funkfii s absolutnc spujitou iiorniou a asociovany Banai-liov priestor I'luikcii. Zaobcra sa lie/ problcinal.ikou Lcbcsgucovycli pricslorov ['unkcii. branycli ako Banadiovo priest ory funkcif. \ Icxte su vyprarovaiu'1 priklady lykajuce sa.vlastnosti niicr ineratel'nych priosl.orov a k-h vplyv na ist udovanc'1 podpricstory. Taklio/ su vypracovaiK'1 priklady Baiia- chovyi'li iiorioni. iin ])n'sliisiio limiacliovc priest ory funkfii a. ich /;ikladne. N'la Klfcova slova: Banacliuva noriiia. Banacliov prieslor I'uukcif, asociovany prieslor. spojita noriua Title: Banach funct ion spaces Author: Jan Marko Department: Department of Mathematical Analysis Supervisor: doc. HNDr. Lubus Pick, CSc.. DSc. 'rvisor's e-mail address: Lubos.Pick'imir.cuni.cx Abstract: This thesis describes basic properties of Banach function spaces, its subspace of functions of absolutely continuous norm and its associa.lt; space.. II.also deals with problems of Lebesgue spaces considered to be Banach function spaces. Several problems...

N'a/ev prace: Banarhovy prostory fuiikci Autor: Jan Marko Katcdr;i: KaTedra inaleniaticke analy/y Yedouci bakalarske prace: doc1. UN Dr. Lubus Pick. CSc.. DSc. t'-inail vedoudho: Lubos.Pick'i'inff.cuni.c/ Abst.ra.kt.: V t.ejto ])riici su popisane xakladne vlastnosti Baimchovho priostoru funkcii. jeho podpriestor funkfii s absolutnc spujitou iiorniou a asociovany Banai-liov priestor I'luikcii. Zaobcra sa lie/ problcinal.ikou Lcbcsgucovycli pricslorov ['unkcii. branycli ako Banadiovo priest ory funkcif. \ Icxte su vyprarovaiu'1 priklady lykajuce sa.vlastnosti niicr ineratel'nych priosl.orov a k-h vplyv na ist udovanc'1 podpricstory. Taklio/ su vypracovaiK'1 priklady Baiia- chovyi'li iiorioni. iin ])n'sliisiio limiacliovc priest ory funkfii a. ich /;ikladne. N'la Klfcova slova: Banacliuva noriiia. Banacliov prieslor I'uukcif, asociovany prieslor. spojita noriua Title: Banach funct ion spaces Author: Jan Marko Department: Department of Mathematical Analysis Supervisor: doc. HNDr. Lubus Pick, CSc.. DSc. 'rvisor's e-mail address: Lubos.Pick'imir.cuni.cx Abstract: This thesis describes basic properties of Banach function spaces, its subspace of functions of absolutely continuous norm and its associa.lt; space.. II.also deals with problems of Lebesgue spaces considered to be Banach function spaces. Several problems...