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On some properties of functions from \(W^l _{p,a,k} (G)\) spaces. (English. Russian original) Zbl 0294.46024

J. Sov. Math. 2, 369-375 (1974); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklov 23, 33-40 (1971).

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
Full Text: DOI

References:

[1] C. B. Morrey, Multiple Integral Problems in the Calculus of Variations and Related Topics, Univ. of California Publ., 1 (1943).
[2] C. B. Morrey, ?Second-order elliptic systems of differential equations,? Ann. of Math. Studies, Princeton Univ. Press, No. 3 (1954).
[3] C. B. Morrey, ?Second-order elliptic equations in several variables and Hölder continuity,? Math. Z.,72 (1959).
[4] D. Greco, ?Criteri di compattezza per insieme di funzioni in ?n? variabili independenti,? Ricerche di Matem. Napoli,1, 124?144 (1952). · Zbl 0049.16703
[5] L. Nirenberg, ?Estimates and existence of solutions of elliptic equations,? Comm. Pure Appl. Math.,9, No. 3, 509?530 (1956). · Zbl 0070.32301 · doi:10.1002/cpa.3160090322
[6] V. P. Il’in, ?On imbedding theorems,? Trudy Mat. Inst. Steklov.,53, 359?386 (1959).
[7] S. Campanato, ?Caratterizzatione delle tracce di funzioni appartenenti ad una classe di Morrey insieme con le loro derivate prime,? Ann. Scuola Norm. Sup. di Pisa, s. III,15, No. 3, 263?281 (1961). · Zbl 0117.33401
[8] S. Campanato, ?Proprieta di inclusione per Spazi di Morrey,? Ricerche di Matem.,12, No. 1, 67?86 (1963). · Zbl 0192.22703
[9] G. C. Barozzi, ?Su una generalizzazione degli spaziL(?,?) di Morrey,? Annali de la Scuola Norm. Sup. di Pisa, s. III,19, No. 4, 609?626 (1965).
[10] A. Zygmund, Trigonometric Series, Vol. 2, 2nd ed., Cambridge Univ. Press, New York (1959). · Zbl 0085.05601
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