Paraproducts and products of functions in BMO(Rn) and H1(Rn) through wavelets

By A. Bonami, Sandrine Grellier, Luong Dang Ky. 2012

100 citations recorded by the source corpus.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/3a96903405aba35ba959df67a0f254fcb2b0fce0

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. Yiyu Liang
3. Sibei Yang
4. Luong Dang Ky
5. Wen Yuan
6. Ferenc Weisz
7. Jizheng Huang
8. The Anh Bui

In Numerical Analysis

1. Dachun Yang
2. Sibei Yang
3. Yiyu Liang
4. Yong Jiao
5. Luong Dang Ky

Citations in the corpus

• Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates (2013, background): “It is worth pointing out that Musielak-Orlicz functions are the natural generalization of Orlicz functions (see, for example, [28, 29, 49, 59]) and the motivation to study function spaces of Musielak-Orlicz type is attributed to their extensive applications to many fields of mathematics (see, for ex”
• New martingale inequalities and applications to Fourier analysis (2018, background): “any problems of analysis; see, for example, [12, 48, 34, 80]. Especially, they naturally appear in the endpoint estimates for the div-curl lemma and the commutators of Caldro´n–Zygmund operators (see [6, 8, 80]). See also the monograph [80] for a detailed and complete survey of the recent progress r”
• New real-variable characterizations of Musielak-Orlicz Hardy spaces (2012, background): “Recall that the motivation to study function spaces of Musielak-Orlicz type comes from applications to elasticity, fluid dynamics, image processing, nonlinear partial differential equations and the calculus of variation; see, for example, [6, 7, 8, 10, 11, 24].”
• Musielak–Orlicz–Hardy Spaces Associated with Operators and Their Applications (2012, background): “Furthermore, some interesting applications of the spaces Hφ(R n) and BMOφ(R n) were given in [11, 13, 14, 63, 64, 65, 66].”
• Musielak-Orlicz Campanato Spaces and Applications (2013, background): “The motivation to study function spaces of Musielak-Orlicz type comes from applications to elasticity, fluid dynamics, image processing, nonlinear partial differential equations and the calculus of variation; see, for example, [4, 5, 6, 8, 9, 22] and their references.”
• Lusin Area Function and Molecular Characterizations of Musielak-Orlicz Hardy Spaces and Their Applications (2012, background): “Moreover, the motivation to study function spaces of Musielak-Orlicz type is due to that they have wide applications to several branches of physics and mathematics (see, for example, [5, 6, 7, 17, 18, 34, 38, 56] for more details).”
• Bilinear decompositions and commutators of singular integral operators (2011, background): “The space H (R) (see [23, 4]) denotes the space of all tempered distributions f such that Mf ∈ L(R) equipped with the norm ‖f‖Hlog = ‖Mf‖Llog .”