# On some properties of the functions from Sobolev-Morrey type spaces

Open Mathematics (2005)

- Volume: 3, Issue: 3, page 496-507
- ISSN: 2391-5455

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topAlik Najafov. "On some properties of the functions from Sobolev-Morrey type spaces." Open Mathematics 3.3 (2005): 496-507. <http://eudml.org/doc/268826>.

@article{AlikNajafov2005,

abstract = {In this paper the spaces of type Sobolev-Morrey-W p,a,г,τl(Q,G)-are constructed, the differential properties are studied and it is proved that the functions from these spaces satisfy Holder's condition, in the case, if the domain G∋R n satisfies the flexible λ-horn condition.},

author = {Alik Najafov},

journal = {Open Mathematics},

keywords = {26A33; 46E30; 42B35; 46E35},

language = {eng},

number = {3},

pages = {496-507},

title = {On some properties of the functions from Sobolev-Morrey type spaces},

url = {http://eudml.org/doc/268826},

volume = {3},

year = {2005},

}

TY - JOUR

AU - Alik Najafov

TI - On some properties of the functions from Sobolev-Morrey type spaces

JO - Open Mathematics

PY - 2005

VL - 3

IS - 3

SP - 496

EP - 507

AB - In this paper the spaces of type Sobolev-Morrey-W p,a,г,τl(Q,G)-are constructed, the differential properties are studied and it is proved that the functions from these spaces satisfy Holder's condition, in the case, if the domain G∋R n satisfies the flexible λ-horn condition.

LA - eng

KW - 26A33; 46E30; 42B35; 46E35

UR - http://eudml.org/doc/268826

ER -

## References

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- [2] A.M. Najafov: “Some families functional spaces and imbedding theorems”, Proceeing of IMM of NAS Azerbaijan, Vol. 16(24), (2002), pp. 114–121. Zbl1082.46506
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- [10] S. Campanato: “Caratterizzazione delle tracce di funzioni appatenenti ad una classe di Morrey iniseme con le loro derivate prime”, Ann. Scuola Norm. Sup. di Pisa, ser. III, Vol. 15, Fasc III, (1961), pp. 263–281. Zbl0117.33401
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- [12] G.C. Barozzi: “Su una generalizzazione degli spazi L (q,λ) di Morrey”, Ann. Scuola Norm. Sup. di Pisa, ser. III, Vol. 19, Fasc. IV, (1965), pp. 609–626. Zbl0139.30202
- [13] V.P. Il'yin: “On some properties of the functions of spaces W p,a,Г l (G)”, Zap. Nauchn. sem. LOMI AN SSSR, Vol. 23, (1971), pp. 33–40 (in Russian).
- [14] Yu.V. Netrusov: “On some imbedding theorems of Besov-Morrey type spaces”, Zap. Nauchn. sem. LOMI AN SSSR, Vol. 139, (1984), pp. 139–147 (in Russian). Zbl0575.46033
- [15] A.M. Najafov: “The interpolation theorems on the Besov-Morrey and Triebel-Lizorkin-Morrey type spaces”, In: Mater. of scientific confer. “The questions on functional analysis and mathematical physics” dedicated to 80-year of Baku State University named after M.A. Rasulzadeh, 1999, pp. 363–366 (in Russian).
- [16] V.S. Guliev, A.M. Najafov: “The imbedding theorems on the Lizorkin-Triebel-Morrey type spaces”, In: Progress in Analysis. Proceedings of the 3rd International ISAAC Congress, Berlin, Vol. 1, 2001, pp. 23–30.
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