Variation operators for semigroups and Riesz transforms on \(BMO\) in the Schrödinger setting
From MaRDI portal
Publication:1949218
DOI10.1007/s11118-012-9294-9zbMath1276.42015OpenAlexW1979330537MaRDI QIDQ1949218
J. Carlos Fariña, Eleonor O. Harboure, Lourdes Rodríguez-Mesa, Jorge J. Betancor
Publication date: 6 May 2013
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-012-9294-9
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Convergence and divergence of series and sequences of functions (40A30)
Related Items (10)
Variation operators for semigroups and Riesz transforms acting on weighted \(L^p\) and BMO spaces in the Schrödinger setting ⋮ Boundedness of oscillation and variation of semigroups in Musielak-Orlicz-Hardy spaces ⋮ Variation and oscillation operators on weighted Morrey–Campanato spaces in the Schrödinger setting ⋮ Boundedness of operators on weighted Morrey-Campanato spaces in the Bessel setting ⋮ Oscillation and variation for Riesz transform in setting of Bessel operators on \(H^1\) and BMO ⋮ Boundedness of oscillation and variation of semigroups associated with Bessel Schrödinger operators ⋮ Boundedness of variation operators and oscillation operators for certain semigroups ⋮ Variation of Calderón–Zygmund operators with matrix weight ⋮ UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces ⋮ Variation operators on weighted Hardy and BMO spaces in the Schrödinger setting
Cites Work
- \(L^p\)-boundedness properties of variation operators in the Schrödinger setting
- A variation norm Carleson theorem
- The \(\rho \)-variation as an operator between maximal operators and singular integrals
- The \(\rho \)-variation of the Hermitian Riesz transform
- Commutators of Riesz transforms related to Schrödinger operators
- Some estimates of higher order Riesz transform related to Schrödinger type operators
- Characterizations of localized BMO(\({\mathbb R}^n\)) via commutators of localized Riesz transforms and fractional integrals associated to Schrödinger operators
- Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
- Weighted inequalities for negative powers of Schrödinger operators
- The BMO\(_L\) space and Riesz transforms associated with Schrödinger operators
- Some estimates of Schrödinger-type operators with certain nonnegative potentials
- Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators
- Riesz transforms related to Schrödinger operators acting on BMO type spaces
- Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
- Weak-\(L^\infty\) and BMO
- BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
- Oscillation and variation for the Hilbert transform
- Dimension free estimates for the oscillation of Riesz transforms
- \(L^ p\) estimates for Schrödinger operators with certain potentials
- \(L^p\) estimates for some Schrödinger type operators and a Calderón-Zygmund operator of Schrödinger type
- \(L^p\) boundedness of commutators of Riesz transforms associated to Schrödinger operator
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- Strong variational and jump inequalities in harmonic analysis
- Oscillation in ergodic theory
- Oscillation and variation for the Gaussian Riesz transforms and Poisson integral
- Oscillation and variation for singular integrals in higher dimensions
- Variation inequalities for the Fejér and Poisson kernels
- Hpspaces associated with Schrödinger operators with potentials from reverse Hölder classes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Variation operators for semigroups and Riesz transforms on \(BMO\) in the Schrödinger setting
