6533b7dafe1ef96bd126eb62

RESEARCH PRODUCT

Some Inclusion Theorems for Orlicz and Musielak-Orlicz Type Spaces

Carlo BardaroGianluca Vinti

subject

Pure mathematicsMusielak-Orlicz spacesApplied MathematicsNorm (mathematics)Mathematical analysisFunctional spaceBirnbaum–Orlicz spaceOrlicz spacesRiemann-Liouville fractional integralHomogeneous kernelOrlicz spaces; Musielak-Orlicz spaces; Riemann-Liouville fractional integral; homogeneous kernelshomogeneous kernelsMathematics

description

where K is a homogeneous kernel and f belongs to some KSthe functional space. In these papers the estimates are taken with respect to the KSthe norm of the space. Recently in [2] we obtained analogous estimates for functions belonging to Orlicz or Musielak-Orlicz type spaces L ~, with respect to the canonical modular functional. These results enable us to say that, for example,

10.1007/bf01759260http://hdl.handle.net/11391/156389