Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces
From MaRDI portal
Publication:5902096
DOI10.1007/s11118-008-9113-5zbMath1171.42003OpenAlexW2134800613MaRDI QIDQ5902096
Vagif S. Guliyev, Victor I. Burenkov
Publication date: 17 June 2009
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-008-9113-5
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)
Related Items
On the boundedness of a \(B\)-Riesz potential in the generalized weighted \(B\)-Morrey spaces ⋮ Anisotropic fractional maximal commutators with BMO functions on anisotropic Morrey-type spaces ⋮ Necessary and sufficient condition for the boundedness of the Gegenbauer-Riesz potential on Morrey spaces ⋮ Parabolic sublinear operators with rough kernel generated by parabolic Calderón-Zygmund operators and parabolic local Campanato space estimates for their commutators on the parabolic generalized local Morrey spaces ⋮ Sufficient conditions for the pre-compactness of sets in global Morrey-type spaces ⋮ The Hardy-Littlewood-Sobolev theorem for Riesz potential generated by Gegenbauer operator ⋮ An analog of Young's inequality for convolutions of functions for general Morrey-type spaces ⋮ Generalized fractional maximal operator on generalized local Morrey spaces ⋮ Riesz potential in the local Morrey-Lorentz spaces and some applications ⋮ Generalized local Morrey spaces and fractional integral operators with rough kernel ⋮ Description of interpolation spaces for local Morrey-type spaces ⋮ Commutators of sublinear operators generated by Calderón-Zygmund operator on generalized weighted Morrey spaces ⋮ Lipschitz estimates for rough fractional multilinear integral operators on local generalized Morrey spaces ⋮ Oscillatory integrals with variable Calderón-Zygmund kernel on vanishing generalized Morrey spaces ⋮ Rough fractional integral operators on Morrey-Adams spaces ⋮ Decompositions of local Morrey-type spaces ⋮ Calderón-Zygmund operators in Morrey spaces ⋮ Hardy–Sobolev inequality for Sobolev functions in central Herz–Morrey spaces ⋮ Some estimates of rough bilinear fractional integral ⋮ Parabolic fractional maximal operator in modified parabolic Morrey spaces ⋮ Two-weight inequalities for Riesz potential and its commutators on weighted global Morrey-type spaces \(G{\mathcal M}_\omega^{p,\theta ,\phi} (\mathbb{R}^n)\) ⋮ Unnamed Item ⋮ Fractional maximal operator in the local Morrey-Lorentz spaces and some applications ⋮ Boundedness of sublinear operators and commutators on generalized Morrey spaces ⋮ A sufficient condition for compactness of the commutators of Riesz potential on global Morrey-type space ⋮ Boundedness of the Riesz potential in local Morrey-type spaces ⋮ Hardy and Sobolev inequalities in the half space ⋮ Applications of Littlewood-Paley theory for \(\dot{B}_\sigma\)-Morrey spaces to the boundedness of integral operators ⋮ Sobolev embeddings for generalized Riesz potentials of functions in Morrey spaces \(L^{(1, \varphi)}(G)\) over nondoubling measure spaces ⋮ Boundedness of the maximal operator in the local Morrey-Lorentz spaces ⋮ Unnamed Item ⋮ Stein-Weiss inequalities for radial local Morrey spaces ⋮ Boundedness of some sublinear operators and their commutators on generalized local Morrey spaces ⋮ Boundedness of sublinear operators and their commutators on generalized central Morrey spaces ⋮ Boundedness of maximal, potential type, and singular integral operators in the generalized variable exponent Morrey type spaces ⋮ Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents ⋮ A class of subspaces of Morrey spaces and norm inequalities on Riesz potential operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On weighted iterated Hardy-type inequalities ⋮ Boundedness of the anisotropic Riesz potential in anisotropic local Morrey-type spaces ⋮ On the Boundedness of the Fractional Maximal Operator, Riesz Potential and Their Commutators in Generalized Morrey Spaces ⋮ Sublinear operators with rough kernel generated by Calderón-Zygmund operators and their commutators on generalized local Morrey spaces ⋮ Characterizations of some operators on the vanishing generalized Morrey spaces with variable exponent ⋮ Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries ⋮ Hardy–Sobolev inequalities for Sobolev functions in central Herz–Morrey spaces on the unit ball ⋮ SOME CLASSES OF OPERATORS IN GENERAL MORREY-TYPE SPACES ⋮ Singular integral operators and sublinear operators on Hardy local Morrey spaces with variable exponents ⋮ Boundedness of the maximal and potential operators in Herz-Morrey type spaces ⋮ Commutators of Riesz potential in the vanishing generalized weighted Morrey spaces with variable exponent ⋮ Weak estimates for the maximal and Riesz potential operators in non-homogeneous central Herz-Morrey spaces ⋮ Unnamed Item ⋮ Embedding of vector-valued Morrey spaces and separable differential operators ⋮ Maximal operator and Calderon–Zygmund operators in local Morrey–Lorentz spaces ⋮ Stein-Weiss inequality for local mixed radial-angular Morrey spaces ⋮ The boundedness of fractional integral operators in local and global mixed Morrey-type spaces ⋮ Boundedness of rough fractional multilinear integral operators on generalized Morrey spaces
Cites Work
- A note on Riesz potentials
- Fractional integrals on spaces of homogeneous type
- Integral operators of potential type in spaces of homogeneous type
- Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces
- The Weighted Hardy's Inequality for Nonincreasing Functions
- Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces
- On commutators of fractional integrals
- Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
- On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
- Some properties of the anisotropic Riesz-Bessel potential
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item