On basicity of exponential systems in Morrey-type spaces

DOI10.1142/S0129167X14500542zbMath1295.30128MaRDI QIDQ2874680

Aida Tagiyeva, B. T. Bilalov

Publication date: 8 August 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

basesMorrey-Hardy spaceMorrey-Lebesgue spaceMorrey-Smirnov space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary value problems in the complex plane (30E25) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (27)

Some remarks on solvability of Dirichlet problem for Laplace equation in non-standard function spaces ⋮ On Morrey-type classes of harmonic functions ⋮ Banach Hardy classes and some properties ⋮ $L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework ⋮ Unnamed Item ⋮ On the Basicity of Systems of Sines and Cosines with a Linear Phase in Morrey-Type Spaces ⋮ The Concept of a Trace and the Boundedness of the Trace Operator in Banach-Sobolev Function Spaces ⋮ On basicity of the system of eigenfunctions of one discontinuous spectral problemfor second order differential equation for grand-Lebesgue space ⋮ Solvability in the small of $m$-th order elliptic equations in weighted grand Sobolev spaces ⋮ On solvability in the small and Schauder-type estimates for higher order elliptic equations in grand Sobolev spaces (nonseparable case) ⋮ On the Fredholmness of the Dirichlet problem for a second-order elliptic equation in grand-Sobolev spaces ⋮ The method of boundary value problems in the study of the basis properties of perturbed system of exponents in Banach function spaces ⋮ ON THE DIRICHLET PROBLEM FOR THE LAPLACE EQUATION WITH THE BOUNDARY VALUE IN MORREY SPACE ⋮ Unnamed Item ⋮ On the solvability of Riemann problems in grand Hardy classes ⋮ Interior Schauder-Type Estimates for Higher-Order Elliptic Operators in Grand-Sobolev Spaces ⋮ Unnamed Item ⋮ On the solvability of the Riemann boundary value problem in Morrey--Hardy classes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On basicity of perturbed exponential system with piecewise linear phase in Morrey-type spaces ⋮ The basis property of a perturbed system of exponentials in Morrey-type spaces ⋮ Some questions of harmonic analysis in weighted Morrey type spaces ⋮ On solvability in the small of higher order elliptic equations in grand-Sobolev spaces ⋮ Unnamed Item ⋮ The analogs of the Korovkin theorems in Banach function spaces ⋮ On basicity of exponential and trigonometric systems in grand Lebesgue spaces

Cites Work

• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• Some remarks on the Navier–Stokes equations in R3
• Navier-stokes flow in r³with measures as initial vorticity and morrey spaces
• Unnamed Item

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