A class of subspaces of Morrey spaces and norm inequalities on Riesz potential operators

DOI10.1007/s13370-014-0241-3zbMath1329.42021OpenAlexW2083836962MaRDI QIDQ497005

Ibrahim Fofana, Bérenger Akon Kpata, Falé Roland Faléa

Publication date: 23 September 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-014-0241-3

zbMATH Keywords

Radon measureMorrey spacesfractional maximal operatorHerz spaceamalgams spacesRiesz potential operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items (3)

Bourgain-Morrey spaces mixed with structure of Besov spaces ⋮ Gagliardo representation of norms of ball quasi-Banach function spaces ⋮ Boundedness of Calderón-Zygmund operators on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes

Cites Work

• Necessary condition for measures which are \((L^q ,L^p )\) multipliers
• Calderón-Zygmund operators on amalgam spaces and in the discrete case
• Characterizations of the existence and removable singularities of divergence-measure vector fields
• Weighted Norm Inequalities for a Maximal Operator in Some Subspace of Amalgams
• L^PEstimates for fractional integrals and sobolev inequalities with applications to schrödinger operators
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Navier-stokes flow in r³with measures as initial vorticity and morrey spaces
• Weighted Norm Inequalities for Fractional Integrals
• Boundedness properties of fractional integral operators associated to non-doubling measures
• Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
• Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces
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