Weighted anisotropic Hardy spaces and their applications in boundedness of sublinear operators

By Marcin Bownik, Baode Li, Dachun Yang, Yuan Zhou. 2008

121 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8cdfbfc3ce68c0681cbe98f289293a1a9a2753ec

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Dachun Yang
2. Wen Yuan
3. Jun Liu
4. Luong Dang Ky
5. Yuan Zhou
6. Long Huang
7. Ferenc Weisz
8. Liguang Liu

In Mathematical Physics

1. Dachun Yang
2. Wen Yuan
3. Jun Liu
4. Luong Dang Ky
5. Yuan Zhou
6. Long Huang
7. Ferenc Weisz
8. Liguang Liu

Citations in the corpus

• Maximal function characterizations of Hardy spaces on RD-spaces and their applications (2008, background): “n ) which maps (1 ,q )-atoms or continuous (1, ∞)-atoms into uniformly bounded elements of some Banach space B uniquely extends to a bounded linear operator from H 1 (R n )t oB. In [ 32 ], the results in [25] were generalized to weighted Hardy spaces on R n with a general”
• Weighted anisotropic product Hardy spaces and boundedness of sublinear operators (2009, background): “We then prove that H p w(Rn × Rm; ~A) coincides with Hp, q, ~sw (Rn × Rm; ~A), that H p, q, ~s w,fin (R n × Rm; ~A) is dense in Hpw(Rn × Rm; ~A) and that both the quasi-norms ‖ · ‖Hpw(Rn×Rm; ~A) and ‖ · ‖Hp, q, ~sw, fin (Rn×Rm; ~A) with ~s being sufficiently large are equivalent on Hp, q, ~sw,fin…”
• Atomic and Littlewood–Paley Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications (2018, background): “[10] further extended the anisotropic Hardy space on R to the weighted setting.”
• New Hardy Spaces of Musielak–Orlicz Type and Boundedness of Sublinear Operators (2011, methodology): “Then, we consider generalized quasi-Banach spaces which generalize the notion of quasi-Banach spaces in [59] (see also [9]), and obtain criterious for boundedness of sublinear operators on H(R).”
• Variable Hardy Spaces (2012, background): “Givenp(·) ∈MP0, for everyf ∈ S ′ the following are equivalent: (1) there existsΦ ∈ S, ∫ Φ(x)dx 6= 0, such thatMΦ,0f ∈ L; (2) for all N > n/p0 + n + 1, MNf ∈ L; (3) f is a bounded distribution and N f ∈ L.”
• Anisotropic Hardy-Lorentz spaces and their applications (2015, background): “the anisotropic Hardy spaces associated with general expansive dilations, which were extended to the weighted setting in [13].”
• Variable Anisotropic Hardy Spaces and Their Applications (2017, background): “[7] further extended the anisotropic Hardy space to the weighted setting.”