Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type
By Yongsheng Han, D. Müller, Dachun Yang. 2006
149 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/15223baa87fb1b8af1c8ee046d239cf34f5f0163
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
In Mathematical Physics
Citations in the corpus
- A generalization of Hardy spaces Hp by using atoms (2008, methodology): “For maximal function characterizations, Lusin-area characterizations and Littlewood– Paley characterizations for H(X), see [16–21].”
- Atomic and Littlewood–Paley Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications (2018, background): “On the other hand, due to the celebrated work [12, 13, 14] of Calderón and Torchinsky on parabolic Hardy spaces, there has been an increasing interest in extending classical function spaces from Euclidean spaces to some more general underlying spaces; see, for example, [6, 21, 28, 35, 36, 61, 62, 63”
- Localized Hardy Spaces $H^1$ Related to Admissible Functions on RD-Spaces and Applications to Schr\ (2009, unknown): “1”
- Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces (2021, unknown): “One special case of spaces of homogeneous type is the RD-space, originally introduced in [30] (see also [29, 79]), which is a doublingmetricmeasure space satisfying the following additional reverse doubling condition: There exist constants C(μ) ∈ (0, 1] and κ ∈ (0, ω] such that, for any ball B(x, r)”
- REAL-VARIABLE CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH BESSEL OPERATORS (2011, methodology): “The main target of this paper is, via using the results from [13, 14], to establish the characterizations of the atomic Hardy spaces Hp((0, ∞), dmλ) in terms of the radial maximal function, the nontangential maximal function, the grand maximal function, the Littlewood-Paley g-function and the Lusin-”
- Localized BMO and BLO Spaces on RD-Spaces and Applications to Schr\ (2009, background): “It was proved in [31] that if f ∈ H1 ρ(X ), the Hardy space associated to ρ, then f−Kρ(f) ∈ H1(X ), where H1(X ) is the Hardy space studied in [15, 16, 14], which coincides with the atomic Hardy space H1 at(X ) of Coifman and Weiss in [3].”
- A difference characterization of Besov and Triebel-Lizorkin spaces on RD-spaces (2009, background): “To this end, we first recall some basic estimates, which will be used throughout the whole paper, and whose proof can be found in [37, 16].”
- Boundedness of sublinear operators in Hardy spaces on RD-spaces via atoms (2008, methodology): “6 in [11] by removing the hypothesis that |K(x,y)| C[V (x, y)]−1 for any x = y.”
- Variable Anisotropic Hardy Spaces and Their Applications (2017, background): “Due to the celebrated work [11–13] of Calderón and Torchinsky on parabolic Hardy spaces, there has been an increasing interest in extending classical function spaces from Euclidean spaces to some more general underlying spaces; see, for example, [28, 31, 32, 58, 59, 61, 65, 76].”
- New properties of Besov and Triebel-Lizorkin spaces on RD-spaces (2009, background): “The following spaces of test functions play a key role in the theory of function spaces on RD-spaces; see [8, 9].”
- BOUNDEDNESS OF SINGULAR INTEGRALS IN HARDY SPACES ON SPACES OF HOMOGENEOUS TYPE (2009, background): “In fact, Han [18] proved that Hardy spaces in [18] coincide with those in [24]; see also [19].”
- $L^p$-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets (2013, background): “, [35] and the references therein), here we work in an ambient X with no distinguished “vertical” direction.”