Generalized weighted Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups
DOI10.7153/jmi-2022-16-17zbMath1490.35060OpenAlexW4220736431MaRDI QIDQ5078794
Publication date: 25 May 2022
Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/jmi-2022-16-17
singular integral operatorsfractional integral operatorgeneralized weighted Morrey spaceshomogeneous groupshypoelliptic operators with driftgeneralized weighted Sobolev-Morrey estimates
Smoothness and regularity of solutions to PDEs (35B65) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) A priori estimates in context of PDEs (35B45) Analysis on other specific Lie groups (43A80) Hypoelliptic equations (35H10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized local Morrey spaces and fractional integral operators with rough kernel
- Schauder estimates for sub-elliptic equations
- Morrey spaces in harmonic analysis
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces
- Sharp weighted bounds for fractional integral operators
- Subelliptic estimates and function spaces on nilpotent Lie groups
- A note on Riesz potentials
- Sobolev-Morrey spaces related to an ultraparabolic equation
- The fractional operators on weighted Morrey spaces
- Elliptic equations with discontinuous coefficients in generalized Morrey spaces
- On weak solutions of ultraparabolic equations.
- \(\mathcal{L}^p\) estimates for some ultraparabolic operators with discontinuous coefficients
- Lie groups related to Hörmander operators and Kolmogorov-Fokker-Planck equations
- Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups
- Calderón-Zygmund operators with kernels of Dini's type on generalized weighted variable exponent Morrey spaces
- Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces
- Weighted Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups
- The singular integral operator and its commutator on weighted Morrey spaces
- Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications
- Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients
- Weighted extrapolation in grand Morrey spaces and applications to partial differential equations
- On some properties of the functions from Sobolev--Morrey type spaces
- Weighted inequalities for commutators of fractional integrals on spaces of homogeneous type
- Hypoelliptic second order differential equations
- Proprieta di inclusione per spazi di Morrey
- An invariant Harnack inequality for a class of hypoelliptic ultraparabolic equations
- Estimates of BMO type for singular integrals on spaces of homogeneous type and applications to hypoelliptic PDEs
- Generalized Sobolev-Morrey estimates for hypoelliptic operators on homogeneous groups
- Generalized weighted Morrey spaces and classical operators
- The Dirichlet problem for the uniformly higher-order elliptic equations in generalized weighted Sobolev-Morrey spaces
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Weighted Morrey spaces and a singular integral operator
- 𝐿^{𝑝} estimates for nonvariational hypoelliptic operators with 𝑉𝑀𝑂 coefficients
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Weighted Norm Inequalities for Fractional Integrals
- Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
- Global Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups
- Weighted local Morrey spaces
- A Thought on Generalized Morrey Spaces
- Sharp Weighted Bounds for Fractional Integral Operators in a Space of Homogeneous Type
- Weighted Norm Inequalities for the Hardy Maximal Function
- On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
- Uncertainty principle estimates for vector fields
