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| 1 | Interpolation of Morrey-Campanato and related smoothness spaces显示文摘We study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, e. g., Besov-type and Triebel-Lizorkin-type spaces. Various interpolation methods, including the complex method, the ±-method and the Peetre-Gagliardo method, are studied in such a framework. Special emphasis is given to the quasi-Banach case and to the interpolation property. | YUAN Wen SICKEL Winfried YANG DaChun | 2015 | Science China Mathematics2015，58，9： | 19 |
| 2 | Generalized Morrey spaces and trace operator显示文摘The theory of generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey spaces is developed. Generalized Morrey spaces, which Mizuhara and Nakai proposed, are equipped with a parameter and a function. The trace property is one of the main focuses of the present paper, which will clarify the role of the parameter of generalized Morrey spaces. The quarkonial decomposition is obtained as an application of the atomic decomposition. In the end, the relation between the function spaces dealt in the present paper and the foregoing researches is discussed. | NAKAMURA Shohei NOI Takahiro SAWANO Yoshihiro | 2016 | Science China Mathematics2016，59，2： | 6 |
| 3 | Some Specific Unboundedness Property in Smoothness Morrey Spaces. The Non-existence of Growth Envelopes in the Subcritical Case显示文摘We study smoothness spaces of Morrey type on Rn and characterise in detail those situations when such spaces of type A_(p,q)^(s,r)(R^n) or A_(u,p,q)~s(R^n) are not embedded into L_(∞)(R^n).We can show that in the so-called sub-critical,proper Morrey case their growth envelope function is always infinite which is a much stronger assertion.The same applies for the Morrey spaces M_(u,p)(R^m) with p < u.This is the first result in this direction and essentially contributes to a better understanding of the structure of the above spaces. | Dorothee D.HAROSKE Susana D.MOURA | 2016 | Acta Mathematica Sinica,English Series2016，32，2： | 1 |
| 4 | Unboundedness properties of smoothness Morrey spaces of regular distributions on domains显示文摘We study unboundedness of smoothness Morrey spaces on bounded domains ? ? R^n in terms of growth envelopes. It turns out that in this situation the growth envelope function is finite—in contrast to the results obtained by Haroske et al.(2016) for corresponding spaces defined on R^n. A similar effect was already observed by Haroske et al.(2017), where classical Morrey spaces M_(u,p)(?) were investigated. We deal with all cases where the concept is reasonable and also include the tricky limiting cases. Our results can be reformulated in terms of optimal embeddings into the scale of Lorentz spaces L_(p,q)(?). | HAROSKE Dorothee D. MOURA Susana D. SCHNEIDER Cornelia SKRZYPCZAK Leszek | 2017 | Science China Mathematics2017，60，12： | 0 |
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