DOI: 10.1515/math-2025-0270 ISSN: 2391-5455
Estimates for
p
-adic multilinear Hardy–Littlewood operators on variable Morrey–Herz spaces
Pham Thi Kim Thuy, Kieu Huu Dung, Tran Thi Nang Abstract
We obtain some necessary and sufficient conditions for the boundedness of the
p
-adic multilinear Hardy–Littlewood operators
H
φ
,
n
,
m
${\mathcal{H}}_{\varphi ,n,m}$
on the
p
-adic Morrey–Herz spaces
∏
i
=
1
m
M
K
̇
ℓ
,
q
i
(
⋅
)
,
ω
i
α
i
(
⋅
)
,
λ
i
Q
p
n
$\prod _{i=1}^{m}{M \dot {K}}_{\ell ,{q}_{i}\left(\cdot \right),{\omega }_{i}}^{{\alpha }_{i}\left(\cdot \right),{\lambda }_{i}}\left({\mathbb{Q}}_{p}^{n}\right)$
, the
p
-adic central Morrey spaces
∏
i
=
1
m
B
̇
ω
i
q
i
(
⋅
)
,
λ
i
Q
p
n
$\prod _{i=1}^{m}{\dot {B}}_{{\omega }_{i}}^{{q}_{i}\left(\cdot \right),{\lambda }_{i}}\left({\mathbb{Q}}_{p}^{n}\right)$
, and the
p
-adic local central Morrey spaces
∏
i
=
1
m
B
̇
ω
i
,
l
o
c
q
i
(
⋅
)
,
λ
i
Q
p
n
$\prod _{i=1}^{m}{\dot {B}}_{{\omega }_{i},\mathrm{l}\mathrm{o}\mathrm{c}}^{{q}_{i}\left(\cdot \right),{\lambda }_{i}}\left({\mathbb{Q}}_{p}^{n}\right)$
with power weights.