Yıl: 2016 Cilt: 40 Sayı: 5 Sayfa Aralığı: 1085 - 1101 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

On the solvability of the Riemann boundary value problem in Morrey--Hardy classes

Öz:
This work considers the Riemann boundary value problem with the piecewise continuous coefficient in MorreyHardy classes. Under some conditions on the coefficient, the Fredholmness of this problem is studied and the general solution of homogeneous and nonhomogeneous problems in Morrey Hardy classes is constructed.
Anahtar Kelime:

Konular: Matematik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Bilalov BT, Quliyeva AA. On basicity of exponential systems in Morrey type spaces. Int J Math 2014, 25: 1-10.
  • [2] Daniluk II. Irregular Boundary Value Problems in the Plane. Moscow, USSR: Nauka, 1975 (in Russian).
  • [3] Duoandikoetxea J. Weight for maximal functions and singular integrals. In: NCTH Summer School on Harmonic Analysis in Taiwan, 2005.
  • [4] Giga Y, Miyakawa T. Navier-Stokes flow in R 3 with measures as initial vorticity and Morrey spaces Comm Part Diff Eq 1989; 14: 577-618.
  • [5] Israfilov DM, Tozman NP. Approximation by polynomials in Morrey-Smirnov classes. East J Approx 2008; 14: 255-269.
  • [6] Israfilov DM, Tozman NP. Approximation in Morrey-Smirnov classes. Azerbaijan Journal of Mathematics 2011; 1: 99-113.
  • [7] Kokilashvili V, Meskhi A. Boundedness of maximal and singular operators in Morrey spaces with variable exponent. Armenian Journal of Mathematics 2008; 1: 18-28.
  • [8] Ky NX. On approximation by trigonometric polynomials in L p u - spaces. Studia Sci Math Hungar 1993; 28: 183-188.
  • [9] Lemarie-Rieusset PG. Some remarks on the Navier-Stokes equations in R 3 . J Math Phys 1988; 39: 4108-4118.
  • [10] Mazuccato AL. Decomposition of Besov-Morrey spaces. In: Proceedings of the Conference on Harmonic Analysis, AMS Series in Contemporary Mathematics, 2003, pp. 279-294.
  • [11] Peetre J. On the theory of L p,λ spaces. J Funct Anal 1964; 4: 71-87.
  • [12] Samko N. Weighted Hardy and singular operators in Morrey spaces. J Math Anal Appl 2009; 35: 183-188.
  • [13] Yemin C. Regularity of the solution to the Dirichlet problem in Morrey space. J Partial Diff Eq 2002; 15: 37-46.
  • [14] Zorko CT. Morrey space. P Am Math Soc 1986; 98: 586-592.
APA BILALOV B, GASYMOV T, GULIYEVA A (2016). On the solvability of the Riemann boundary value problem in Morrey--Hardy classes. , 1085 - 1101.
Chicago BILALOV Bilal,GASYMOV Telman,GULIYEVA Aida On the solvability of the Riemann boundary value problem in Morrey--Hardy classes. (2016): 1085 - 1101.
MLA BILALOV Bilal,GASYMOV Telman,GULIYEVA Aida On the solvability of the Riemann boundary value problem in Morrey--Hardy classes. , 2016, ss.1085 - 1101.
AMA BILALOV B,GASYMOV T,GULIYEVA A On the solvability of the Riemann boundary value problem in Morrey--Hardy classes. . 2016; 1085 - 1101.
Vancouver BILALOV B,GASYMOV T,GULIYEVA A On the solvability of the Riemann boundary value problem in Morrey--Hardy classes. . 2016; 1085 - 1101.
IEEE BILALOV B,GASYMOV T,GULIYEVA A "On the solvability of the Riemann boundary value problem in Morrey--Hardy classes." , ss.1085 - 1101, 2016.
ISNAD BILALOV, Bilal vd. "On the solvability of the Riemann boundary value problem in Morrey--Hardy classes". (2016), 1085-1101.
APA BILALOV B, GASYMOV T, GULIYEVA A (2016). On the solvability of the Riemann boundary value problem in Morrey--Hardy classes. Turkish Journal of Mathematics, 40(5), 1085 - 1101.
Chicago BILALOV Bilal,GASYMOV Telman,GULIYEVA Aida On the solvability of the Riemann boundary value problem in Morrey--Hardy classes. Turkish Journal of Mathematics 40, no.5 (2016): 1085 - 1101.
MLA BILALOV Bilal,GASYMOV Telman,GULIYEVA Aida On the solvability of the Riemann boundary value problem in Morrey--Hardy classes. Turkish Journal of Mathematics, vol.40, no.5, 2016, ss.1085 - 1101.
AMA BILALOV B,GASYMOV T,GULIYEVA A On the solvability of the Riemann boundary value problem in Morrey--Hardy classes. Turkish Journal of Mathematics. 2016; 40(5): 1085 - 1101.
Vancouver BILALOV B,GASYMOV T,GULIYEVA A On the solvability of the Riemann boundary value problem in Morrey--Hardy classes. Turkish Journal of Mathematics. 2016; 40(5): 1085 - 1101.
IEEE BILALOV B,GASYMOV T,GULIYEVA A "On the solvability of the Riemann boundary value problem in Morrey--Hardy classes." Turkish Journal of Mathematics, 40, ss.1085 - 1101, 2016.
ISNAD BILALOV, Bilal vd. "On the solvability of the Riemann boundary value problem in Morrey--Hardy classes". Turkish Journal of Mathematics 40/5 (2016), 1085-1101.