Properties of functions in some weighted spaces

References

• Sobolev SL 1950 Applications of functional analysis in mathematical physics Izdat. Leningrad. Gos. Univ., Leningrad; 1962, reprint, Izdat. Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk; 1963, England transl. American Mathematical Society Providence R.I
   Google Scholar
• Nikol'skii , SM . 1963 . About the steady boundary values of differentiability functions several variables . Mathematical Review , 61 ( 2 ) : 224 – 252 .
   Google Scholar
• Besov OV Il'in VP Nikol'skii SM 1979 Integral representations of functions and imbedding theorems 11 V.H. Winston & Sons, Halsted Press book New York Wiley
   Google Scholar
• Il'in , VP . 1962 . The properties of some classes of differentiability functions serval variable given inn-dimensional domain . Proceedings of the Steklov Institute of Mathematics , 64 : 227 – 363 .
   Google Scholar
• Dzhabrailov AD Il'in VP 1970 On some inequalities between norms partial derivatives of functions of several variables (Russian) Proc. International Congress Imbedding theorems and their applications Moskow, Izd. Nauka pp. 73–75
   Google Scholar
• Vasil'chuk , MYu. 1997 . Some applications of Integral representations to studying boundary properties of differentiable functions (English) . Siberian Advances in Mathematics , 7 ( 4 ) : 97 – 150 .
   Google Scholar
• Mizuta , Yoshihiro . 1997 . Integral representations, differentiability properties and limits at for Beoppo Levi functions . Potential Analysis , 6 ( 3 ) : 237 – 267 .
   Google Scholar
• Mastroni , G and Russo , MG . 1999 . Lagrange Interpolation in Weighted Besov Spaces . Constructive Approximation , 15 : 257 – 289 .
   Google Scholar
• Hideo , Kozono and Takayoshi Ogawa , Yasushi Taniuchi . 2002 . The Critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations . Mathematische Zeitschrift , 242 : 251 – 278 .
   Google Scholar
• Kurokawa , Takahide . 1999 . Local integral representations of smooth functions and interpolation inequalities (English) . RIMS Kokyuroku , 1116 : 107 – 114 .
   Google Scholar
• Adzhiev SS 1996 Characterization of the function spaces and their embeddings into BMO(G) (Russian, English) Proceedings of the Steklov Institute of Mathematics 214 1 18 1997, translation from Tr. Mat. Inst. Steklova, 214, 7–24
   Google Scholar
• Kerimova GT (Alisoy) 1997 Properties of the differential functions with repeated difference-differential characteristic depending on multi-package variables (Russian) Ph.D. Thesis Baku p. 127
   Google Scholar
• Kerimova GT (Alisoy) Dzhabrailov AD Aliyev HZ (Alisoy) 1998 The Diferrential-differrence properties of the functions of several variables, (Turkish), Celal Bayar Univ. Journal of Science and Arts Faculty The Series of Natural Sciences (Mathematics), ISSN 1301–2428 4 9 13
   Google Scholar
• Kerimova GT (Alisoy) Dzhabrailov AD Aliyev HZ (Alisoy) 1998 Imbedding theorems for multi-package variables functions (Turkish). Celal Bayar Univ. Journal of Science and Arts Faculty The Series of Natural Sciences (Mathematics), ISSN 1301–2428 4 31 37
   Google Scholar
• Dzhabrailov AD 2001 The properties of functions on the boundary surfaces (English), 3rd International ISAAC Congress Freie Univ. Berlin, Germany, August 20–25, 2001, Abstracts pp. 19–20
   Google Scholar
• Dzhabrailov AD Kerimova GT (Alisoy) 1988 On one new integral representation with multiple diferrential-differrence features (Russian) Izvestiya Akademii Nauk Azerbaidzhana. SSR, FTMN 4 23 27
   Google Scholar
• Alisoy , GT and Alisoy , HZ . 2002 . On integral representations of multi-package variable functions . International Journal of Applied Mathematics , 4 : 371 – 386 .
   Google Scholar