WAVELET CHARACTERIZATION OF BESOV-MORREY AND TRIEBEL-LIZORKIN-MORREY SPACES

By Yoshihiro Sawano. 2008

97 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a1f100d46a109123d1e2599dc062605debf62c4c

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In Applied Mathematics

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Citations in the corpus

Embeddings of Besov–Morrey spaces on bounded domains (2013, unknown): “Then for any N there is a common extension operator Finally, we brieﬂy describe the wavelet characterisation of Besov–Morrey spaces proved in [S4].”
Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type (2010, background): “Several authors [36, 34, 44, 64, 4] used their techniques in order to generalize results in certain directions.”
New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets (2011, methodology): “We refer to [14] for the spaces Qα(R n), and to [40] for the Triebel-Lizorkin-Morrey spaces.”
Interpolation of Morrey-Campanato and related smoothness spaces (2014, background): “Recall that F 0,1/p−1/u p,2 (R n) = Mup(Rn) if 1 p ≤ u ∞ (see Mazzucato [48] and Sawano [64]).”
Triebel-Lizorkin-Type Spaces with Variable Exponents (2015, background): “Moreover, Ho [31] investigated the variable Triebel–Lizorkin-Morrey space, which is an extension of Triebel–Lizorkin-Morrey spaces in [61, 62] and also generalizes the function space F s(·) p(·),q(·)(R ) in [20].”
A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces (2012, unknown): “Indeed, in [43, 74, 80], Besov-Morrey spaces and its applications are investigated; Triebel-Lizorkin-Morrey spaces are dealt in [74, 75, 80]; Hardy-Morrey spaces are defined and considered in [32, 33, 75, 83] and Hardy-Morrey spaces are applied to PDE in [33].”
Local means, wavelet bases and wavelet isomorphisms in Besov‐Morrey and Triebel‐Lizorkin‐Morrey spaces (2013, methodology): “Sawano [43] gave wavelet characterizations (for r-regular wavelets) for the whole scales of Morrey type function spaces.”
Decomposition of Hardy–Morrey spaces (2009, unknown): “Sawano [9] characterize the Besov–Morrey spaces and the Triebel–Lizorkin–Morrey spaces in terms of wavelet.”