Hardy spaces for ball quasi-Banach function spaces

By Yoshihiro Sawano, Kwok-Pun Ho, Dachun Yang, Sibei Yang. 2017

179 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0eaa4f0ac649bb04d05c7120c2a9733d777829be

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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. Yangyang Zhang
4. Songbai Wang
5. Xianjie Yan
6. Ji Li
7. Liguang Liu
8. Sibei Yang

In Mathematical Physics

1. Dachun Yang
2. Wen Yuan
3. Yangyang Zhang
4. Songbai Wang
5. Ji Li
6. Xianjie Yan
7. Liguang Liu
8. Sibei Yang

Citations in the corpus

• Littlewood-Paley Characterizations of Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces (2019, methodology): “Particularly, the assumptions on the Littlewood–Paley functions in this article are much weaker than the corresponding assumptions in [34, 35, 42, 43, 45, 68, 59, 70] (see Remark 4.”
• Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces (2021, methodology): “Under much weaker assumptions on the Littlewood–Paley functions than the corresponding ones in [65, 71], Chang et al.”
• Applications of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces (2019, methodology): “The main tools to obtain the boundedness of Calderón–Zygmund operators on HX(R ) are the atomic and the maximal function characterizations of HX(R ) (see [47] or Lemmas 3.”
• Real-variable characterizations of Orlicz-slice Hardy spaces (2018, methodology): “28), some of these results can be deduced directly from [40], in which a real-variable theory of Hardy spaces related to ball quasi-Banach function spaces was developed.”
• A Complete Real-Variable Theory of Hardy Spaces on Spaces of Homogeneous Type (2018, background): “[44]), the real-variable theory of Musielak-Orlicz Hardy spaces (see [35, 51]), and also Hardy spaces for ball quasi-Banach spaces (see [46]).”
• Banach function spaces done right (2023, background): “For example, the weighted Lebesgue space L p ( R d , w ) for a Muckenhoupt weight w ∈ A p may not be a Banach function space over R d with the Lebesgue measure in the sense of the definition stated above, see [SHYY17, Section 7.1].”
• Weak Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces II: Littlewood–Paley Characterizations and Real Interpolation (2019, methodology): “[67].”