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Sobolev Type Spaces Based on Lorentz-Karamata Spaces

Date

2016

Author

Eryilmaz, Ilker

Metadata

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Abstract

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.

Source

Filomat

Volume

30

Issue

11

URI

https://doi.org/10.2298/FIL1611023E
https://hdl.handle.net/20.500.12712/13596

Collections

  • Scopus İndeksli Yayınlar Koleksiyonu [14046]
  • WoS İndeksli Yayınlar Koleksiyonu [12971]



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