Estimates for operators on generalized weighted Orlicz-Morrey spaces and their applications to non-divergence elliptic equations
DOI10.1007/s11117-022-00896-zzbMath1489.35051OpenAlexW4224274492MaRDI QIDQ2128629
Vagif S. Guliyev, Mehriban N. Omarova
Publication date: 22 April 2022
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-022-00896-z
Dirichlet problemintegral operatorssecond-order linear elliptic equationsgeneralized weighted Orlicz-Morrey spaces
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Linear integral equations (45A05)
Related Items (3)
Cites Work
- Calderón-Zygmund type singular operators in weighted generalized Morrey spaces
- Global weighted estimates in Orlicz spaces for second-order nondivergence parabolic equations
- Gradient estimates for parabolic equations in generalized weighted Morrey spaces
- Boundedness of intrinsic Littlewood-Paley functions on Musielak-Orlicz Morrey and Campanato spaces
- Orlicz-Morrey spaces and fractional operators
- Weighted estimates for nondivergence parabolic equations in Orlicz spaces
- Non-smooth atomic decompositions for generalized Orlicz-Morrey spaces of the third kind
- Morrey-type regularity of solutions to parabolic problems with discontinuous data
- Characterizations of BMO by \(A_p\) weights and \(p\)-convexity
- Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces
- Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
- On \(BMO\) regularity for linear elliptic systems
- Mean oscillation and commutators of singular integral operators
- Global Morrey regularity of strong solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients
- Elliptic equations with discontinuous coefficients in generalized Morrey spaces
- Global regularity in generalized Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients
- Boundedness of operators on certain weighted Morrey spaces beyond the Muckenhoupt range
- Calderón-Zygmund operators with kernels of Dini's type on generalized weighted variable exponent Morrey spaces
- Boundedness of intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces
- The singular integral operator and its commutator on weighted Morrey spaces
- Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients
- Maximal operator and its commutators on generalized weighted Orlicz-Morrey spaces
- Vector-valued maximal inequalities on weighted Orlicz-Morrey spaces
- A remark on two generalized Orlicz-Morrey spaces
- Weighted Hardy and singular operators in Morrey spaces
- Muckenhoupt-type conditions on weighted Morrey spaces
- On two-weight estimates for the maximal operator in local Morrey spaces
- Weighted local estimates for singular integral operators
- Parabolic and Elliptic Systems in Divergence Form with Variably Partially BMO Coefficients
- Singular Integral Operators and Differential Equations
- On functions of bounded mean oscillation
- Parabolic and Elliptic Equations with VMO Coefficients
- Weighted Morrey spaces and a singular integral operator
- W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
- Functions of Vanishing Mean Oscillation
- Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
- Weighted local Morrey spaces
- A Thought on Generalized Morrey Spaces
- Modern Fourier Analysis
- Boundedness of the Maximal and Singular Operators on Generalized Orlicz–Morrey Spaces
- On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
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