Compactness characterizations of commutators on ball Banach function spaces
Let X be a ball Banach function space on ℝ n \mathbbR^n. Let Ω be a Lipschitz function on
the unit sphere of ℝ n \mathbbR^n, which is homogeneous of degree zero and has mean …
the unit sphere of ℝ n \mathbbR^n, which is homogeneous of degree zero and has mean …
New ball Campanato-type function spaces and their applications
Let X be a ball quasi-Banach function space on R n. In this article, the authors first cleverly
introduce some new ball Campanato-type function spaces associated with X. Then, under …
introduce some new ball Campanato-type function spaces associated with X. Then, under …
Weak Hardy-type spaces associated with ball quasi-Banach function spaces I: Decompositions with applications to boundedness of Calderón-Zygmund operators
Let X be a ball quasi-Banach function space on ℝ n. In this article, we introduce the weak
Hardy-type space WHX (ℝ n), associated with X, via the radial maximal function. Assuming …
Hardy-type space WHX (ℝ n), associated with X, via the radial maximal function. Assuming …
Intrinsic square function characterizations of Hardy spaces associated with ball quasi-Banach function spaces
Let X be a ball quasi-Banach function space satisfying some mild additional assumptions
and HX (ℝ n) the associated Hardy-type space. In this article, we first establish the finite …
and HX (ℝ n) the associated Hardy-type space. In this article, we first establish the finite …
On Function Spaces with Mixed Norms---A Survey
L Huang, D Yang - arxiv preprint arxiv:1908.03291, 2019 - arxiv.org
The targets of this article are threefold. The first one is to give a survey on the recent
developments of function spaces with mixed norms, including mixed Lebesgue spaces …
developments of function spaces with mixed norms, including mixed Lebesgue spaces …
Littlewood-Paley Characterizations of Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces: In Memory of Professor Carlos Berenstein
Let X be a ball quasi-Banach function space on R^ n R n. In this article, assuming that the
powered Hardy–Littlewood maximal operator satisfies some Fefferman–Stein vector-valued …
powered Hardy–Littlewood maximal operator satisfies some Fefferman–Stein vector-valued …
Weak Hardy-type spaces associated with ball quasi-Banach function spaces II: Littlewood–Paley characterizations and real interpolation
Let X be a ball quasi-Banach function space on\mathbb R^ n R n. In this article, assuming
that the powered Hardy–Littlewood maximal operator satisfies some Fefferman–Stein vector …
that the powered Hardy–Littlewood maximal operator satisfies some Fefferman–Stein vector …
Gagliardo representation of norms of ball quasi-Banach function spaces
Let X be a ball quasi-Banach function space on R n. In this article, under some mild
assumptions about both X and the boundedness of the Hardy–Littlewood maximal operator …
assumptions about both X and the boundedness of the Hardy–Littlewood maximal operator …
The Bourgain–Brezis–Mironescu formula on ball Banach function spaces
Abstract Let p∈[1,∞) and X be a ball Banach function space on R n with an absolutely
continuous norm for which the Hardy–Littlewood maximal operator is bounded on (X 1/p) …
continuous norm for which the Hardy–Littlewood maximal operator is bounded on (X 1/p) …
Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces
Let p→:=(p 1,…, pn), r→:=(r 1,…, rn)∈[1,∞) n, L r→(ℝ n) be the mixed-norm Lebesgue
space, and 𝜃 an integrable function. In this paper, via establishing the boundedness of the …
space, and 𝜃 an integrable function. In this paper, via establishing the boundedness of the …