المؤلفون: Li, Hongliang, Sun, Quinxiu

المصدر: Czechoslovak Mathematical Journal | 2011 Volume:61 | Number:1

الاتاحة: http://data.europeana.eu/aggregation/europeana/336/uuid_4258d5bd_fa53_4630_9de9_da2fb15a1b81

المؤلفون: Li, Hongliang, Sun, Quinxiu

مصطلحات موضوعية: keyword:Lorentz spaces, keyword:Sobolev spaces, keyword:Besov spaces, keyword:Sobolev embedding, keyword:rearrangement invariant spaces, msc:42B35, msc:46E35

وصف الملف: application/pdf

Relation: mr:MR2782762; zbl:Zbl 1224.46065; reference:[1] Bastero, J., Milman, M., Blasco, F. Ruiz: A note on $L(\infty,q)$ spaces and Sobolev embeddings.Indiana Univ. Math. J. 52 (2003), 1215-1230. MR 2010324, 10.1512/iumj.2003.52.2364; reference:[2] Bennett, C., Sharpley, R.: Interpolation of Operators. Pure and Applied Mathematics, Vol. 129.Academic Press Boston (1988). MR 0928802; reference:[3] Besov, O. V., Il'in, V. P., Nikol'skij, S. M.: Integral Representation of Functions and Imbedding Theorems, Vol. 1-2.V. H. Winston/John Wiley & Sons Washington, D. C./New York-Toronto-London (1978).; reference:[4] Boyd, D. W.: The Hilbert transform on rearrangement-invariant spaces.Can. J. Math. 19 (1967), 599-616. Zbl 0147.11302, MR 0212512, 10.4153/CJM-1967-053-7; reference:[5] Carro, M. J., Raposo, J. A., Soria, J.: Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities. Mem. Amer. Math. Soc. Vol. 877.(2007). MR 2308059; reference:[6] Kolyada, V. I.: On an embedding of Sobolev spaces.Mat. Zametki 54 (1993), 48-71; English transl.: Math. Notes {\it 54}, (1993), 908-922. Zbl 0821.46043, MR 1248284; reference:[7] Kolyada, V. I.: Rearrangement of functions and embedding of anisotropic spaces of Sobolev type.East J. Approx. 4 (1998), 111-199. Zbl 0917.46019, MR 1638343; reference:[8] Kolyada, V. I., Pérez, F. J.: Estimates of difference norms for functions in anisotropic Sobolev spaces.Math. Nachr. 267 (2004), 46-64. MR 2047384, 10.1002/mana.200310152; reference:[9] Kudryavtsev, L. D., Nikol'skij, S. M.: Spaces of Differentiable Functions of Several Variables and Embedding Theorems. Current problems in mathematics. Fundamental directions.Russian Itogi nauki i Techniki, Akad. Nauk SSSR Moscow 26 (1988), 5-157. MR 1178111; reference:[10] Martín, J.: Symmetrization inequalities in the fractional case and Besov embeddings.J. Math. Anal. Appl. 344 (2008), 99-123. MR 2416295, 10.1016/j.jmaa.2008.02.028; reference:[11] Milman, M., Pustylnik, E.: On sharp higher order Sobolev embeddings.Commun. Contemp. Math. 6 (2004), 495-511. Zbl 1108.46029, MR 2068850, 10.1142/S0219199704001380; reference:[12] Nikol'skij, S. M.: Approximation of Functions of Several Variables and Imbedding Theorems.Springer Berlin-Heidelberg-New York (1975). Zbl 0307.46024; reference:[13] Lázaro, F. J. Pérez: A note on extreme cases of Sobolev embeddings.J. Math. Anal. Appl. 320 (2006), 973-982. MR 2226008, 10.1016/j.jmaa.2005.07.019; reference:[14] Lázaro, F. J. Pérez: Embeddings for anisotropic Besov spaces.Acta Math. Hung. 119 (2008), 25-40. MR 2400793, 10.1007/s10474-007-6235-y; reference:[15] Sobolev, S. L.: On the theorem of functional analysis.Mat. Sb. 4(46) (1938), 471-497.; reference:[16] Soria, J.: Lorentz spaces of weak-type.Quart. J. Math. Oxf., II. Ser. 49 (1998), 93-103. Zbl 0943.42010, MR 1617343, 10.1093/qmathj/49.1.93; reference:[17] Triebel, H.: Theory of Function Spaces.Birkhäuser Basel (1983). Zbl 0546.46028, MR 0781540; reference:[18] Triebel, H.: Theory of Function Spaces II.Birkhäuser Basel (1992). Zbl 0763.46025, MR 1163193

الاتاحة: http://hdl.handle.net/10338.dmlcz/141521

المؤلفون: Li, Hongliang, Sun, Quinxiu

مصطلحات موضوعية: Lorentz spaces, Sobolev spaces, Besov spaces, Sobolev embedding, rearrangement invariant spaces

جغرافية الموضوع: 97-111

وصف الملف: média; svazek

Relation: https://kramerius.lib.cas.cz/view/uuid:4258d5bd-fa53-4630-9de9-da2fb15a1b81

الاتاحة: https://kramerius.lib.cas.cz/view/uuid:4258d5bd-fa53-4630-9de9-da2fb15a1b81