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The boundedness (on $L^p$ spaces) of commutators $[b,T] = bT-Tb$ of pointwise multiplication $b$ and singular integral operators $T$ has been well studied for a long time. Curiously, the necessary conditions for this boundedness to happen are generally less understood than the sufficient conditions, for instance what comes to the assumptions on the operator $T$. I will discuss some new results in this direction, and show how this circle of ideas relates to the mapping properties of the Jacobian (the determinant of the derivative matrix) on first order Sobolev spaces. This is work in progress at the time of submitting the abstract, so I will hopefully be able to present some fairly fresh material. The boundedness (on $L^p$ spaces) of commutators $[b,T] = bT-Tb$ of pointwise multiplication $b$ and singular integral operators $T$ has been well studied for a long time. Curiously, the necessary conditions for this boundedness to happen are generally less understood than the sufficient conditions, for instance what comes to the assumptions on the operator $T$. I will discuss some new results in this direction, and show how this circle of ideas ...

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Documents 42B35 | enregistrements trouvés : 38

Of commutators and Jacobians Hytönen, Tuomas P. | CIRM H Nouveau

Advances in harmonic analysis and partial differential equations:AMS special sessionBoston # April 21-22, 2018 Danielli, Donatella ; Mitrea, Irina | American Mathematical Society 2020 Nouveau

Evolution equations of hyperbolic and Schrödinger type:asymptotics, estimates and nonlinearities.Based on a workshop on asymptotic properties of solutions to hyperbolic equationsLondon # March 2011 Ruzhansky, Michael ; Sugimoto, Mitsuru ; Wirth, Jens | Birkhäuser 2012 Nouveau

Pseudo-differential operators, generalized functions and asymptotics.Selected papers of the 8th ISAAC congressMoscow # august 22-27, 2011 Molahajloo, Shahla ; Pilipovic, Stevan ; Toft, Joachim ; Wong, M. W. | Birkhäuser 2013 Nouveau

Pseudo-differential operators: analysis, applications and computations.Selected papers based on lectures presented at the meeting of the ISAAC group in pseudo-differential operators (IGPDO)London # july 13-18, 2009 Rodino, Luigi ; Wong, Man W. ; Zhu, Hongmei | Birkhäuser 2011 Nouveau

Pseudo-differential operators: complex analysis and partial differential equationsinternational workshopYork # august 4-8, 2008 Schulze, B. W. ; Wong, M. W. | Birkhäuser 2010 Nouveau

Topics in harmonic analysis and ergodic theory :Dec. 2-4 Rosenblatt, Joseph M. ; Stokolos, Alexander M. ; Zayed, Ahmed I. | Amercian Mathematical Society 2007 Nouveau

Harmonic analysis Calderon-Zygmund and beyond :a conference in honor of Stephen Vagi's retirement#Dec. 6-8 Ash, J. Marshall ; Jones, Roger L. | American Mathematical Society 2006 Nouveau

Function spaces, approximation theory, and nonlinear analysis | MAIK Nauka/Interperiodica Publishing;Russian Academy of Sciences 2006 Nouveau

Harmonic analysis, signal processing, and complexity :festschrift in honr of the 60th birthday of Carlos A. Berenstein#May Sabadini, Irène ; Struppa, Danièle C. ; Walnut, David F. | Birkhäuser 2005 Nouveau

Harmonic analysis at Mount Holyoke :proceedings of the AMS-IMS-SIAM joint summer research conference on ... held at Mount Holyoke College#June 25 - July 5 Beckner, William ; Nagel, Alexander ; Seeger, Andreas ; Smith, Hart F. | American Mathematical Society 2003 Nouveau

The Bellman function technique in harmonic analysis Vasyunin, Vasily I. ; Volberg, Alexander | Cambridge University Press 2020 Nouveau

Function spaces with dominating mixed smoothness Triebel, Hans | European Mathematical Society 2019 Nouveau

Bellman function for extremal problems in BMO II: evolution Ivanisvili, Paata ; Stolyarov, Dmitriy M. ; Vasyunin, Vasily I. ; Zatitskiy, Pavel B. | American Mathematical Society 2018 Nouveau

Elliptic boundary value problems with fractional regularity data :the first order approach Amenta, Alex ; Auscher, Pascal | American Mathematical Society 2018 Nouveau

Functional analysis, harmonic analysis, and image processing : a collection of papers in honor of Björn Jawerth Cwikel Michael ; Milman, Mario | American Mathematical Society 2017 Nouveau

PDE models for chemotaxis and hydrodynamics in supercritical function spaces Triebel, Hans | European Mathematical Society 2017 Nouveau

Modern Fourier analysis Grafakos, Loukas | Springer 2014 Nouveau

Fourier analysis. Part 1: theory Constantin, Adrian | Cambridge University Press 2016 Nouveau

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Advances in harmonic analysis and partial differential equations:
AMS special session
Boston # April 21-22, 2018 Danielli, Donatella ; Mitrea, Irina | American Mathematical Society 2020 Nouveau

Evolution equations of hyperbolic and Schrödinger type:
asymptotics, estimates and nonlinearities.
Based on a workshop on asymptotic properties of solutions to hyperbolic equations
London # March 2011 Ruzhansky, Michael ; Sugimoto, Mitsuru ; Wirth, Jens | Birkhäuser 2012 Nouveau

Pseudo-differential operators, generalized functions and asymptotics.
Selected papers of the 8th ISAAC congress
Moscow # august 22-27, 2011 Molahajloo, Shahla ; Pilipovic, Stevan ; Toft, Joachim ; Wong, M. W. | Birkhäuser 2013 Nouveau

Pseudo-differential operators: analysis, applications and computations.
Selected papers based on lectures presented at the meeting of the ISAAC group in pseudo-differential operators (IGPDO)
London # july 13-18, 2009 Rodino, Luigi ; Wong, Man W. ; Zhu, Hongmei | Birkhäuser 2011 Nouveau

Pseudo-differential operators: complex analysis and partial differential equations
international workshop
York # august 4-8, 2008 Schulze, B. W. ; Wong, M. W. | Birkhäuser 2010 Nouveau

Topics in harmonic analysis and ergodic theory :
Dec. 2-4 Rosenblatt, Joseph M. ; Stokolos, Alexander M. ; Zayed, Ahmed I. | Amercian Mathematical Society 2007 Nouveau

Harmonic analysis Calderon-Zygmund and beyond :
a conference in honor of Stephen Vagi's retirement#Dec. 6-8 Ash, J. Marshall ; Jones, Roger L. | American Mathematical Society 2006 Nouveau

Harmonic analysis, signal processing, and complexity :
festschrift in honr of the 60th birthday of Carlos A. Berenstein#May Sabadini, Irène ; Struppa, Danièle C. ; Walnut, David F. | Birkhäuser 2005 Nouveau

Harmonic analysis at Mount Holyoke :
proceedings of the AMS-IMS-SIAM joint summer research conference on ... held at Mount Holyoke College#June 25 - July 5 Beckner, William ; Nagel, Alexander ; Seeger, Andreas ; Smith, Hart F. | American Mathematical Society 2003 Nouveau

Elliptic boundary value problems with fractional regularity data :
the first order approach Amenta, Alex ; Auscher, Pascal | American Mathematical Society 2018 Nouveau

Fourier analysis.
Part 1: theory Constantin, Adrian | Cambridge University Press 2016 Nouveau