Amalgam Spaces With Variable Exponent

Abstract

Let $1\leq s<\infty $ and $1\leq r(.)\leq \infty $ where $r(.)$ is a variable exponent. In this study, we consider the variable exponent amalgam space $\left( L^{r(.)},\ell ^{s}\right) $. Moreover, we present some examples about inclusion properties of this space. Finally, we obtain that the space $\left( L^{r(.)},\ell ^{s}\right) $ is a Banach Function space.

Keywords

• Amalgam space,Banach space,Variable exponent

References

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