The Concept of a -Basis and an Application to the Fredholmness of a Banach-Valued Boundary Value Problem with Oblique Derivative
Siberian Mathematical Journal, cilt.67, sa.4, ss.745-755, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 67 Sayı: 4
- Basım Tarihi: 2026
- Doi Numarası: 10.1134/s0037446626040014
- Dergi Adı: Siberian Mathematical Journal
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Sayfa Sayıları: ss.745-755
- Anahtar Kelimeler: 517.957, Banach-valued harmonic function, Bochner space, Fredholmness, problem with oblique derivative
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
We consider the concept of a -basis generated by the tensor product of Banach spaces.We introduce the concept of a -harmonic Banach-valued (-valued) function, where the space under consideration has an involution.Using the fact that the classical system of exponentials forms a -basis for the Bochner space of -valued functions with the UMD property, we define the Hardy class of -harmonic functions in the unit disk.We consider a boundary value problem with oblique derivative in this class and establish a criterion for the Fredholmness and, in particular, the solvability of this problem.Concrete examples are given.