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@article{EMJ_2011_2_1_a0, author = {Z. Bashir and G. E. Karadzhov}, title = {Optimal embeddings of generalized {Besov} spaces}, journal = {Eurasian mathematical journal}, pages = {5--31}, publisher = {mathdoc}, volume = {2}, number = {1}, year = {2011}, language = {en}, url = {http://geodesic.mathdoc.fr/item/EMJ_2011_2_1_a0/} }
Z. Bashir; G. E. Karadzhov. Optimal embeddings of generalized Besov spaces. Eurasian mathematical journal, Tome 2 (2011) no. 1, pp. 5-31. http://geodesic.mathdoc.fr/item/EMJ_2011_2_1_a0/
[1] I. Ahmed, G. E. Karadzhov, “Optimal embeddings of generalized homogeneous Sobolev spaces”, C. r. de l'Acad. Bulgare des Sci., 61 (2008), 967–972 | MR | Zbl
[2] Z. Bashir, G. E. Karadzhov, “Optimal embeddings of generalized Besov spaces”, C. r. de l'Acad. Bulgare des Sci., 63 (2010), 799–806 | MR | Zbl
[3] C. Bennett, R. Sharpley, Interpolation of operators, Academic Press, New York, 1988 | MR | Zbl
[4] J. Berg, J. Löfström, Interpolation spaces. An introduction, Springer-Verlag, New York, 1976 | MR
[5] Ju. A. Brudnyi, N. Ja. Krugliak, Interpolation spaces and interpolation functors, North-Holland, Amsterdam, 1991 | Zbl
[6] A. Cianchi, “Symmetrization and second order Sobolev inequalities”, Annali di Matem., 183 (2004), 45–77 | DOI | MR | Zbl
[7] M. Cwikel, E. Pustilnik, “Sobolev type embeddings in the limiting case”, J. Fourier Anal. Appl., 4 (1998), 433–446 | DOI | MR | Zbl
[8] M. Cwikel, E. Pustilnik, “Weak type interpolation near “endpoint” spaces”, J. Funct. Anal., 171 (2000), 235–277 | DOI | MR | Zbl
[9] D. E. Edmunds, R. Kerman, L. Pick, “Optimal Sobolev embeddings involving rearrangement invariant quasinorms”, J. Funct. Anal., 170 (2000), 307–355 | DOI | MR | Zbl
[10] D. E. Edmunds, H. Triebel, “Sharp Sobolev embeddings and related Hardy inequalities: the critical case”, Math. Nachr., 207 (1999), 79–92 | MR | Zbl
[11] A. Gogatishvili, J. S. Neves, B. Opic, Optimal embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving $k$-modulus of smoothness, preprint, 2008 | MR
[12] A. Gogatishvili, V. I. Ovchinnikov, “Interpolation orbits and optimal Sobolev's embeddings”, J. Funct. Anal., 253 (2007), 1–17 | DOI | MR | Zbl
[13] A. Gogatishvili, V. I. Ovchinnikov, The optimal embedding for the Calderon type spaces and the $J$-method spaces, preprint, 2008
[14] M. L. Goldman, “On embedding for different metrics of Calderon type spaces”, Trudy Mat. Inst. Steklova, 181, Akad. Nauk SSSR, 1988, 70–94 (Russian) | MR | Zbl
[15] M. L. Goldman, R. A. Kerman, “On optimal embedding of Calderon spaces and generalized Besov spaces”, Proc. Steklov Inst. Math., 243, 2003, 154–184 | MR | Zbl
[16] M. L. Goldman, “Rearrangement invariant envelopes of generalized Besov, Sobolev, and Calderon spaces”, Contemporary Math., 424 (2007), 53–81 | DOI | MR | Zbl
[17] P. Gurka, B. Opic, “Sharp embeddings of Besov spaces with logarithmic smoothness”, Rev. Mat. Complut., 18 (2005), 81–110 | MR | Zbl
[18] K. Hansson, “Imbedding theorems of Sobolev type in potential theory”, Math. Scand., 45 (1979), 77–102 | MR | Zbl
[19] D. D. Haroske, S. D. Moura, “Continuity envelopes and sharp embeddings in spaces of generalized smoothness”, J. Funct. Anal., 254 (2008), 1487–1521 | DOI | MR | Zbl
[20] R. Kerman, L. Pick, “Optimal Sobolev imbeddings”, Forum Math., 18 (2006), 535–579 | DOI | MR
[21] V. I. Kolyada, “Rearrangements of functions and embedding theorems”, Russian Math. Surveys, 44:5 (1989), 73–117 | DOI | MR | Zbl
[22] G. Köthe, Topologische lineare Räume, Springer, Berlin, 1966 | MR | Zbl
[23] Amer. Math. Soc., Providence, 1982 | MR
[24] J. Maly, L. Pick, “An elementary proof of sharp Sobolev embeddings”, Proc. Amer. Math. Soc., 130 (2002), 555–563 | DOI | MR | Zbl
[25] J. Martin, M. Milman, “Symmetrization inequalities and Sobolev embeddings”, Proc. Amer. Math. Soc., 134 (2006), 2235–2247 | MR
[26] J. Martin, M. Milman, “Higher orger symmetrization inequalities and applications”, J. Math. Anal. and Appl., 330 (2007), 91–113 | DOI | MR | Zbl
[27] J. Martin, M. Milman, “Self-improving Sobolev-Poincare inequalities and symmetrization”, Potential Anal., 29 (2008), 391–408 | DOI | MR | Zbl
[28] J. Martin, M. Milman, E. Pustylnik, “Self improving Sobolev inequalities, truncation and symmetrization”, J. Funct. Anal., 252 (2007), 677–695 | DOI | MR | Zbl
[29] M. Milman, E. Pustylnik, “On sharp higher order Sobolev embeddings”, Comm. Contemp. Math., 6 (2004), 495–511 | DOI | MR | Zbl
[30] B. Muckenhoupt, “Hardy's inequality with weights”, Studia Math., 44 (1972), 31–38 | MR | Zbl
[31] Y. V. Netrusov, “Embedding theorems for Besov spaces in symmetric spaces”, Notes Sci. Sem. LOMI, 159, 1987, 69–102
[32] Springer-Verlag, New York–Heidelberg, 1975 | MR
[33] H. Triebel, Theory of function spaces III, Birkhäuser, Basel, 2006 | MR | Zbl