Abstract
We introduce classes of pairs of weights closely related to Schrödinger operators, which allow us to get two-weight boundedness results for the Schrödinger fractional integral and its commutators. The techniques applied in the proofs strongly rely on one hand, boundedness results in the setting of finite measure spaces of homogeneous type and, on the other hand, Fefferman–Stein-type inequalities that connect maximal operators naturally associated to Schrödinger operators.
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© 2021 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Square function inequality for a class of Fourier integral operators satisfying cinematic curvature conditions
- Homological epimorphisms, homotopy epimorphisms and acyclic maps
- Summation formulae involving Stirling and Lah numbers
- Two-weighted inequalities for maximal operators related to Schrödinger differential operator
- 𝐿𝑝-estimates for rough bi-parameter Fourier integral operators
- Variation and oscillation inequalities for commutators in two-weight setting
- Convexity of sets in metric Abelian groups
- Operations that preserve integrability, and truncated Riesz spaces
- Very degenerate elliptic equations under almost critical Sobolev regularity
- Higher integrability near the initial boundary for nonhomogeneous parabolic systems of 𝑝-Laplacian type
- When the image of a derivation on a uniformly complete 𝑓-algebra is contained in the radical
- Dyadic bilinear estimates and applications to the well-posedness for the 2D Zakharov–Kuznetsov equation in the endpoint space 𝐻−1/4
- Indefinite Einstein metrics on nice Lie groups
- Automorphic Schwarzian equations
- Smoothing theorems for Radon transforms over hypersurfaces and related operators
- Metrical universality for groups
Articles in the same Issue
- Frontmatter
- Square function inequality for a class of Fourier integral operators satisfying cinematic curvature conditions
- Homological epimorphisms, homotopy epimorphisms and acyclic maps
- Summation formulae involving Stirling and Lah numbers
- Two-weighted inequalities for maximal operators related to Schrödinger differential operator
- 𝐿𝑝-estimates for rough bi-parameter Fourier integral operators
- Variation and oscillation inequalities for commutators in two-weight setting
- Convexity of sets in metric Abelian groups
- Operations that preserve integrability, and truncated Riesz spaces
- Very degenerate elliptic equations under almost critical Sobolev regularity
- Higher integrability near the initial boundary for nonhomogeneous parabolic systems of 𝑝-Laplacian type
- When the image of a derivation on a uniformly complete 𝑓-algebra is contained in the radical
- Dyadic bilinear estimates and applications to the well-posedness for the 2D Zakharov–Kuznetsov equation in the endpoint space 𝐻−1/4
- Indefinite Einstein metrics on nice Lie groups
- Automorphic Schwarzian equations
- Smoothing theorems for Radon transforms over hypersurfaces and related operators
- Metrical universality for groups