TITLE:
Continuity and Density Properties in Spaces B V p,α ( ℝ d )
AUTHORS:
Bacary Savadogo, Fana Tangara, Aissata Adama
KEYWORDS:
Amalgam Spaces, Characterization, Continuity, Density, Translation Operator and Regular Function
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.16 No.3,
March
25,
2026
ABSTRACT: B
V
p,α
(
ℝ
d
) (
1≤α≤p≤+∞
)
spaces are new classes of functions that we introduced 2017 [1]. In this paper, we give a characterization of
B
V
p,α
(
ℝ
d
)
spaces and establish the continuity of the translation operator and the density of the set of regular functions of class
C
∞
in these spaces.