Nonlinear potential analysis on Morrey spaces and their capacities

By D. Adams, Jie Xiao. 2004

179 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/226dbda48519a0bef9686d63853286b14b7b7eec

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Citations in the corpus

Maximal and Potential Operators in Variable Exponent Morrey Spaces (2008, background): “Note that in the case of constant p, λ and α, the norm equivalence of If and Mf in Morrey spaces is also known, see [2].”
The Fatou Property of Block Spaces (2014, background): “We refer [1, 2, 5] for recent development of the theory of the predual spaces.”
Old and New Morrey Spaces with Heat Kernel Bounds (2007, unknown): “The second aim is to use those new characterizations as motives of a continuous study of [1, 7, 5, 9] and so to introduce new Morrey spaces L L (R ) associated with operators.”
Morrey-Campanato Spaces: an Overview (2013, methodology): “Xiao, we denote the preduals obtained in [115], [57] and [4] by Z, K and H, respectively, q = p p−1 .”
Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces (2011, methodology): “In [2], motivated by the development of the theory of capacities for potentials of functions of the Morrey space, Adams and Xiao extended this relation to the Morrey space M0 .”
Local means, wavelet bases and wavelet isomorphisms in Besov‐Morrey and Triebel‐Lizorkin‐Morrey spaces (2013, unknown): “We refer to the papers [1], [2], [4], [6], [9], [10]–[13], [18], [22], [23], [27]–[30], [32], [34]–[39], [46], [50]–[52], [63], [65].”
Commutators of Hardy operators in vanishing Morrey spaces (2012, unknown): “to papers [1, 2, 3, 6, 7, 17, 18, 22, 23, 31], see also references therein.”
Interpolation of Morrey-Campanato and related smoothness spaces (2014, methodology): “ple, [13,40,55,64]. We collect a few useful properties of Caldero´n products for the later use; see, for example, [111]. Lemma 2.3. Let Xj⊂M, j∈{0,1}, be quasi-Banach lattices of functions and let Θ ∈(0,1). (i) Then the Caldero´n product X1−Θ 0 X Θ 1 is a quasi-Banach space. YUAN W et al. Sci China ”
Orlicz–Morrey Spaces and Fractional Operators (2012, methodology): “This Morrey norm equivalence is first proved by Adams and Xiao in [2].”
New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets (2011, methodology): “Notice that for all k ≥ 0 and l ∈ Z, when t ∈ [1, 2] and |z| < 2−(k+l)t, 1 + 2|x− y| ≤ 1 + 2(|x− (y + z)|+ |z|) .”
Weighted Hardy operators in the local generalized vanishing Morrey spaces (2012, unknown): “to papers [1–4,6,19,21,22,30–32], see also references therein.”
Integral operators on analytic Morrey spaces (2013, background): “For example, in Euclidean spaces R, Adams and Xiao studied Morrey spaces by potential theory and Hausdorff capacity in [1] and [2].”
Weighted Hardy and singular operators in Morrey spaces (2008, background): “1 Introduction The well known Morrey spaces L introduced in [30] in relation to the study of partial differ ential equations, and presented in various books, see [18], [26], [47], were widely investigated during last decades, including the study of classical opera tors of harmonic analysis - maximal”