Some new tent spaces and duality theorems for fractional Carleson measures and Qα(Rn)

By G. Dafni, Jie Xiao. 2004

114 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/66c5e90ba9f85b1e6f4a39eae7e2292f3f96999c

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In Applied Mathematics

1. Dachun Yang
2. Wen Yuan
3. Ciqiang Zhuo
4. Yoshihiro Sawano
5. Yiyu Liang
6. Tino Ullrich
7. Winfried Sickel
8. Jun Liu

In Mathematical Physics

1. Dachun Yang
2. Wen Yuan
3. Ciqiang Zhuo
4. Yoshihiro Sawano
5. Yiyu Liang
6. Winfried Sickel
7. Tino Ullrich
8. Jun Liu

Citations in the corpus

• Besov-Type Spaces with Variable Smoothness and Integrability (2015, background): “On the other hand, Besov-type spaces B p,q (R ) and Triebel-Lizorkin spaces F s,τ p,q (R ) and their homogeneous counterparts for all admissible parameters were introduced in [68, 69, 78] in order to clarify the relations among Besov spaces, Triebel-Lizorkin spaces and Q space (see [12, 19]).”
• Relations among Besov-type spaces, Triebel–Lizorkin-type spaces and generalized Carleson measure spaces (2011, methodology): “Recently, Dafni and Xiao [1] introduced the Hardy-Hausdorff space HH1−α(R n) with α ∈ (0,min{1, n/2}) and proved that these spaces are predual spaces of Qα(Rn).”
• Interpolation of Morrey-Campanato and related smoothness spaces (2014, background): “es; see, e.g., [26], [68] and [96,97]. The homogenous version of these spaces were introduced in [107,108] in order to clarify the relation between Besov and Triebel-Lizorkin spaces and Q spaces (see [20,25,104,105]). Several classical spaces can be identified within these scales. Proposition 5.2. Le”
• Triebel-Lizorkin-Type Spaces with Variable Exponents (2015, background): “nt of these function spaces and their history can be founded in Triebel’s monographes [66, 67, 68, 69]. Recently, to clarify the relations among Besov spaces, Triebel-Lizorkin spaces and Qspaces (see [16, 24]), Besov-type spaces Bs,τ p,q(Rn) and Triebel-Lizorkin-type spaces Fs,τ p,q(Rn) and their ho”
• New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets (2011, methodology): “We also point out that Adams and Xiao [2] and Dafni and Xiao [15] first used the Hausdorff capacity and weights to introduce some new spaces of functions and, very recently, Adams and Xiao [3, 4, 5] gave some new interesting applications of such spaces of functions.”