Real-variable theory of (Musielak-)Orlicz-Hardy spaces associated with differential operators and its applications
By Sibei Yang. 2015
157 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4b71facbd7d99b135584a9daf643cc844ecfa59e
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- New martingale inequalities and applications to Fourier analysis (2018, background): “Especially, they naturally appear in the endpoint estimates for the div-curl lemma and the commutators of Caldrón–Zygmund operators (see [6, 8, 80]).”
- Anisotropic Variable Hardy-Lorentz Spaces and Their Real Interpolation (2017, background): “ith the articles [45] of Kova´cˇik and Ra´kosn´ık and [32] of Fan and Zhao as well as [21] of Cruz-Uribe and [24] of Diening, and nowadays has been widely used in harmonic analysis (see, for example, [22, 25, 79]). In addition, the theory of variable function spaces also has interesting applications”
- Real-variable characterizations of Orlicz-slice Hardy spaces (2018, background): “Next we recall the notion of γ-quasi-Banach spaces (see, for example, [27], [44], [47] and [46]).”
- Littlewood-Paley Characterizations of Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces (2019, background): “4 Weighted Lebesgue spaces If X is a weighted Lebesgue space L p ω(R ) with p ∈ (0,∞) and ω ∈ A∞(R ), then HX(R ) is just the weighted Hardy space H p ω(R ), which was studied in [11, 26, 43, 14, 64, 72, 71].”
- Variable Anisotropic Hardy Spaces and Their Applications (2017, background): “On the other hand, as we all know, the variable function spaces have found their applications in fluid dynamics [1, 2, 57], image processing [14, 33, 64], partial differential equations and variational calculus [9, 23, 63] and harmonic analysis [4, 18, 21, 75].”
- Weak Hardy-type spaces associated with ball quasi-Banach function spaces I: Decompositions with applications to boundedness of Calderón-Zygmund operators (2019, background): “[47] (see also [74]) considered the weak Musielak–Orlicz type Hardy space WH(R), which covers both the weak Hardy spaceWH(R) and the weighted weak Hardy space WH p ω(R ) from [59], and obtained various equivalent characterizations of WH(R), respectively, in terms of maximal functions, atoms, molecul”
- Weak Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces II: Littlewood–Paley Characterizations and Real Interpolation (2019, background): “[52] (see also [75]) considered the weak Musielak–Orlicz type Hardy spaceWH(R), which covers both the weak Hardy spaceWH(R) and the weighted weak Hardy space WH p ω(R ) from [64], and obtained various equivalent characterizations of WH(R) in terms of maximal functions, atoms, molecules and Littlewoo”
- On Function Spaces with Mixed Norms — A Survey (2019, unknown): “and, for any ψ, φ∈Y , ‖T(ψ)−T(φ)‖Bγ ≤C‖T(ψ−φ)‖Bγ (see [42, 56, 81–83]).”
- Applications of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces (2019, background): “22(vii) is known (see, for instance, [28] and [56]).”
- Dual spaces of anisotropic mixed-norm Hardy spaces (2018, background): “For more developments of the duality theory of function spaces and their applications in harmonic analysis and partial differential equations, we refer the reader to [2, 10, 21, 23, 25, 32, 33, 34].”
- Atomic and Littlewood–Paley Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications (2018, unknown): “i=1 |μi| ‖T ( fi)‖γBγ and, for any f , g ∈ Y, ‖T ( f ) − T (g)‖Bγ ≤ C‖T ( f − g)‖Bγ (see [81, 82, 44, 79]).”
- A Complete Real-Variable Theory of Hardy Spaces on Spaces of Homogeneous Type (2018, methodology): “Next we recall the definition of r-quasi-Banach spaces (see, for example, [35, 51, 53, 52, 20]).”