The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations
By O. Méndez, M. Mitrea. 2000
58 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/00e1cebd93d94ce8fa7f51a4170ace37b80cdc84
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In Applied Mathematics
- Dachun Yang
- Wen Yuan
- S. Hofmann
- M. Mitrea
- Svitlana Mayboroda
- Dorothee D. Haroske
- Lixin Yan
- Hans Triebel
In Mathematical Physics
- Dachun Yang
- Wen Yuan
- Dorothee D. Haroske
- S. Hofmann
- Marcin Bownik
- Hans Triebel
- Winfried Sickel
- Svitlana Mayboroda
Citations in the corpus
- Interpolation of Morrey-Campanato and related smoothness spaces (2014, methodology): “[95] (with forerunners in case τ = 0 in Mendez and Mitrea [50], Kalton et al.”
- Boundary value problems for the Stokes system in arbitrary Lipschitz domains (2011, background): “4 in [66], H at (R n−1) = Ḟ p,2 1 (R n−1) for n−1 n < p ≤ 1, (2.”
- Wavelet bases and entropy numbers in weighted function spaces (2005, methodology): “To catch the remaining cases we apply the classical complex interpolation method extended to some classes of quasi-Banach spaces according to [45].”
- The Poisson problem with mixed boundary conditions in Sobolev and Besov spaces in non-smooth domains (2007, background): “This relies on material from [38] to which we refer the reader for a more detailed exposition.”
- Function Spaces with Dominating Mixed Smoothness (2019, methodology): “We overcome this obstacle in Chapter 4 by the use of a complex interpolation method as developed by O. Mendez and M. Mitrea in [20].”
- Second order elliptic operators with complex bounded measurable coefficients in L p , Sobolev and Hardy spaces (2010, methodology): “Here we continue to follow the method of complex interpolation of analytically convex spaces which have been employed in the classical Hardy-Sobolev-BesovTriebel-Lizorkin scales in [46], [52], [45], and for the tent spaces with s = 0 in [20].”
- Duality and interpolation of anisotropic Triebel–Lizorkin spaces (2008, background): “A slight modification of this method, which is due to Kalton and Mitrea [32], is given below.”
- Boundary value problems for the Laplacian in convex and semiconvex domains (2010, background): “Again, see [57] for the case q = 1, and [51] for the general case.”