Sobolev Type Spaces Based on Lorentz-Karamata Spaces

Eryılmaz İ.

FILOMAT, cilt.30, sa.11, ss.3023-3032, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 11
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1611023e
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3023-3032
  • Anahtar Kelimeler: Slowly varying function, Lorentz-Karamata space, Sobolev space, FP-algebra, weak factorization, ALGEBRAS, SUBALGEBRAS, EMBEDDINGS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, firstly Lorentz-Karamata-Sobolev spaces W-L(p,q;b)(k) (R-n) of integer order are introduced and some of their important properties are emphasized. Also, Banach spaces A(L(p,q;b))(k) (R-n) = L-1 (R-n) boolean AND W-L(p,q;b)(k) (R-n) (Lorentz-Karamata-Sobolev algebras) are studied. Using a result of H.C.Wang, it is showed that Banach convolution algebras A(L(p,q;b))(k) (R-n) don't have weak factorization and the multiplier algebra of A(L(p,q;b))(k) (R-n) coincides with the measure algebra M(R-n) for 1 < p < infinity and 1 <= q < infinity.