Categorical forms of a classical result in Hardy space theory

Postgraduate Thesis uoadl:2934334 113 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2021-02-04
Year:
2021
Author:
Thirios Efstratios
Supervisors info:
Βασίλειος Νεστορίδης, Ομότιμος Καθηγητής, Μαθηματικό, ΕΚΠΑ
Αριστομένης Συσκάκης, Καθηγητής, Μαθηματικό, ΑΠΘ
Τηλέμαχος Χατζηαφράτης, Καθηγητής, Μαθηματικό, ΕΚΠΑ
Original Title:
Κατηγορικές μορφές ενός κλασικού αποτελέσματος στην θεωρία των χώρων Hardy
Languages:
Greek
Translated title:
Categorical forms of a classical result in Hardy space theory
Summary:
It is known that for 0

q there is a function g_ (p, a) of class H_p so that its derivative does not belong to the space H_α.
A first objective of the work is to choose g_ (p, a) independent of α and to show that the set of all these functions g_p is G_δ and a dense subset in the space H_p (2nd category). Also consider the localized forms of this result as well as replace the H_p space with spaces of the form ⋂_ (β

Main subject category:
Science
Keywords:
Hardy space
Index:
No
Number of index pages:
0
Contains images:
No
Number of references:
6
Number of pages:
36
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