Morrey and Campanato Meet Besov, Lizorkin and Triebel

By Wen Yuan, Winfried Sickel, Dachun Yang. Lecture notes in mathematics, 2010

348 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/95e01da6c58513e877aa59ad2cb766ee6c449bc5

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In Applied Mathematics

1. Dachun Yang
2. Wen Yuan
3. Yoshihiro Sawano
4. Tino Ullrich
5. Jun Liu
6. Shohei Nakamura
7. Long Huang
8. Takahiro Noi

In Mathematical Physics

1. Dachun Yang
2. Wen Yuan
3. Yoshihiro Sawano
4. Tino Ullrich
5. Shohei Nakamura
6. Jun Liu
7. Takahiro Noi
8. Ciqiang Zhuo

Citations in the corpus

• Generalized Morrey spaces and trace operator (2016, background): “5]. Yang, Yuan and Zhuo investigated the boundedness property of the Fourier multiplier precisely in [94]. Yang and Yuan characterized As,ρ pq(Rn) in terms of the Peetre maximal operator in [87]. See [89, 96] for more recent advances in Triebel-Lizorkin type spaces, and see [17, 51] for the extensio”
• Interpolation of Morrey-Campanato and related smoothness spaces (2014, background): “ kΦ(f)k∗ fs,τ p,q (Rn) and kfkFs,τ p,q (Rn) are equivalent. Remark 5.9. (i) Such isomorphisms in the framework of Morrey spaces and smoothness spaces related to Morrey spaces are also investigated in [115] (s>0); for τ<1/p, one may also consult Sawano [75] and Rosenthal [71]. (ii) There is a p”
• Dual spaces of anisotropic mixed-norm Hardy spaces (2018, methodology): “eory of the parabolic Hardy space. 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]. Notice that, when ~a ∈ [1,∞)n and ~p := (p 1,..., p n) ∈ (1,∞)n, by”
• Neural Network with Unbounded Activation Functions is Universal Approximator (2015, methodology): “For Schwartz’s distributions, we refer to Schwartz [32] and Tr`eves [33]; for Lebesgue spaces, Rudin [34], Brezis [35] and Yosida [36]; for Lizorkin distributions, Yuan et al. [37] and Holschneider [38].”
• Spaces of Variable Smoothness and Integrability: Characterizations by Local Means and Ball Means of Differences (2011, background): “The condition 0 < p− ≤ p+ < ∞ is quite natural since there exists also the restriction p < ∞ in the case of constant exponents, see [51] and [63].”
• Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type (2010, background): “The parameter B(Rd) is a Banach space of measurable functions on Rd, the parameter w : X → (0,∞) represents a weight function on X, and 1 ≤ q ≤ ∞, a > 0.”