Boundedness of high order Riesz-Bessel transformations generated by generalized shift operator on B alpha spaces

ŞERBETÇİ A., Ekincioglu I.

CHINESE ANNALS OF MATHEMATICS SERIES B, vol.24, no.1, pp.65-72, 2003 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 24 Issue: 1
  • Publication Date: 2003
  • Doi Number: 10.1142/s0252959903000074
  • Journal Name: CHINESE ANNALS OF MATHEMATICS SERIES B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.65-72
  • Keywords: generalized shift operator, Riesz-Bessel transformations, B alpha spaces
  • Ankara University Affiliated: Yes

Abstract

A new class of function spaces, denoted by Ba, was introduced by XX Ding in [4]. This class of spaces is a very natural generalization of the classical L-p spaces and also includes some important Orlicz spaces, Orlicz-Sobolev spaces,etc.