scientific article; zbMATH DE number 7564772

MaRDI QIDQ5092035

Mehriban N. Omarova

Publication date: 28 July 2022

Full work available at URL: http://static.bsu.az/w24/Contents%20V11%20N2%202020/OmarovaMehriban.pdf

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zbMATH Keywords

commutatorparabolic non-singular integralparabolic vanishing generalized Orlicz-Morrey spaces

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

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Cites Work

• Maximal, potential and singular operators in vanishing generalized Morrey spaces
• Orlicz-Morrey spaces and fractional operators
• Boundedness of sublinear operators and commutators on generalized Morrey spaces
• Non-smooth atomic decompositions for generalized Orlicz-Morrey spaces of the third kind
• Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces
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• Factorization theorems for Hardy spaces in several variables
• Mean oscillation and commutators of singular integral operators
• Regularity results for a class of elliptic equations with coefficients in Morrey spaces
• Global regularity in generalized Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients
• Boundedness of fractional oscillatory integral operators and their commutators on generalized Morrey spaces
• Characterizations for the commutator of parabolic nonsingular integral operator on parabolic generalized Orlicz-Morrey spaces
• Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients
• \(\Phi\)-admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces
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• Commutators of fractional integral operators on Vanishing-Morrey spaces
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• Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui
• On functions of bounded mean oscillation
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• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• Cauchy integrals on Lipschitz curves and related operators
• W_p^1,2solvability for the cauchy-dirichlet problem for parabolic equations with vmo coefficients
• Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
• Variable Lebesgue norm estimates for BMO functions
• Generalized Morrey Regularity for Parabolic Equations with Discontinuous Data
• Boundedness of the Maximal and Singular Operators on Generalized Orlicz–Morrey Spaces
• COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
• Singular integrals with mixed homogeneity
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
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