Project funded by the Agencia Estatal de Investigación (Spain), grant number CNS2022-135431. Principal Investigator: José Manuel Conde Alonso. Dates: September 2023 to December 2025.

Project members

Local

• José Manuel Conde Alonso (UAM).

• Adrián Manuel González Pérez (UAM).

• Zhen-Chuan Liu (UAM).

• Javier Parcet (ICMAT).

• Guillermo Rey (UAM).

• Eduardo Tablate (ICMAT-UAM). 

Outside

• David Beltran (U. de Valencia).

• Antonio Ismael Cano Mármol (Baylor University).

• Marta de León Contreras (U. de la Laguna).

• Francesco D'Emilio (University of Washington in StLouis).

• Emiel Lorist (TU Delft).

• Matteo Monti (Universitá di Bergamo).

• Jill Pipher (Brown University).

• Elena Rizzo (Università degli studi di Milano statale).

• Nathan Wagner (Brown University).

Research papers belonging to (or with publication supported by) the project

• Antonio I. Cano-Mármol, José M. Conde-Alonso, Zhen-Chuan Liu. Weak-type estimates for Haar shift operators with noncommuting symbols and irregular filtrations. Preprint

• José M. Conde-Alonso, Emiel Lorist, Guillermo Rey. Cancellative sparse domination. Preprint. 

• Fernando Benito-de la Cigoña, Tainara Borges, Francesco D'Emilio, Marcus Pasquariello, Nathan A. Wagner. Matrix Weighted Lp Estimates in the Nonhomogeneous Setting. Preprint on arxiv. 

• Chian Yeong Chuah, Zhen-Chuan Liu, Tao Mei. Khintchine inequalities and Z2 sets. Preprint on arxiv. 

• José M. Conde-Alonso, Nathan A. Wagner. Endpoint estimates for Haar shift operators with balanced measures. Preprint on arxiv. J. Geom. Anal. 35, 252 (2025).

• José M. Conde-Alonso, Filippo De Mari, Matteo Monti, Elena Rizzo and Maria Vallarino. Endpoint estimates and sparse domination in nonhomogeneous trees. Preprint on arxiv. To appear in Ann. Sc. Norm. Super. Pisa, Cl. Sci.

• Tainara Borges, José M. Conde-Alonso, Jill Pipher and Nathan A. Wagner. Commutator estimates for Haar shifts with general measures. Preprint on arxiv. J. Funct. Anal. 289 (2025), no. 5, Paper No. 110945, 35pp.

• José M. Conde-Alonso, Jill Pipher and Nathan A. Wagner. Balanced measures, sparse domination and complexity-dependent weight classes. Preprint on arxiv. Math. Ann. 391 (2025), no. 2, 2209–2253.

Talks, conference attendance and other travel supported by the project

• December 2025. Research visit of David Beltran (U. Valencia) to Universidad Autónoma de Madrid. 

• December 2025. Research visit of Matteo Monti (U. Bergamo) and Elena Rizzo (U. Milano statale) to Universidad Autónoma de Madrid. 

• November 2025. Research visit of Emiel Lorist (TU Delft) to Universidad Autónoma de Madrid. 

• September 2025. Connections between commutative and non­commutative harmonic analysis, an ICMS Workshop (Edinburgh, UK). Participants:
  José Manuel Conde Alonso. Organizer.
  Zhen-Chuan Liu. Short talk, title: "Weak-type estimates for Haar shift operators with noncommutative symbols and irregular filtrations".

• July 2025. Conference YMC*A 2025. Participant: Zhen-Chuan Liu. Talk, title: "A Marcinkiewicz-type Schur multiplier theorem on Schatten p-classes".

• July 2025. Conference IWOTA 2025 (Twente, Netherlands). Participants:
  José Manuel Conde Alonso. Plenary talk, title:  "Schur-type multipliers on Schatten-von Neumann classes as singular integral operators".
  Zhen-Chuan Liu: "A Marcinkiewicz-type Schur multiplier theorem for Schatten p-classes".

• June 2025. 12th International Conference on Harmonic Analysis and Partial Differential Equations at El Escorial (El Escorial, Spain). Participants: José Manuel Conde Alonso, Francesco D'Emilio, Zhen-Chuan Liu, Matteo Monti, Javier Parcet and Guillermo Rey.
  Short talk by Matteo Monti, title: "Paley-Wiener spaces of discrete entire functions on Z2".
  Poster presentation by Francesco D'Emilio, title: "Convex body domination and Lp matrix weighted estimates for general measures".

• May 2025. XLIV Convegno nazionale di Analisi armonica (Napoli, Italy). Participant: José Manuel Conde Alonso. Invited talk, title: "Cancellative sparse domination".

• Apr 2025. Mini-workshop in harmonic analysis at Università di Genova (Genova, Italy). Participant: José Manuel Conde Alonso. Invited talk, title: "BMO and commutators with nonhomogeneous martingales".

• January 2025. University of Houston analysis seminar (Houston, TX, US). Participant: José Manuel Conde Alonso. Title: "An inequality for Schur multipliers".

• January 2025. Conference VII Congreso de Jóvenes Investigadores de la RSME. Participant: Zhen-Chuan Liu.

• September-December 2024. Research visit to Politecnico di Torino and Università Federico II di Napoli (Torino and Naples, Italy). Participant: José Manuel Conde Alonso.

• October 2024. Conference Noncommutativity behind the dunes (Delft, Netherlands). Participant: Zhen-Chuan Liu. Contributed talk, title: "An unconditional decomposition of the Schatten p-classes".  

• July 2024. Summer school in harmonic analysis in Harbin (Harbin, China). Participant: Zhen-Chuan Liu.

• July 2024. ECM satellite conference in Harmonic Analysis (Málaga, Spain). Participant: José Manuel Conde Alonso. Invited talk, title: "Nondoubling dyadic models: sparse domination and commutator estimates".

• May 2024. Conference XXII EARCO (Alcalá de Henares, Spain). Participant: Zhen-Chuan Liu.

• December 2023. Conference "Noncommutative analysis on groups and quantum groups" (Besançon, France).  Participant: José Manuel Conde Alonso. Invited talk, title: "Pseudodifferential operators over Schatten classes and group algebras".

Organization of events

• September 2025. Connections between commutative and non­commutative harmonic analysis, an ICMS Workshop (Edinburgh, UK). Member of the organizing committee: José Manuel Conde Alonso.

• June 2025. 12th International Conference on Harmonic Analysis and Partial Differential Equations at El Escorial (El Escorial, Spain). Members of the organizing committee: José Manuel Conde Alonso, Javier Parcet and Guillermo Rey.

• 2023-2025. Working group in noncommutative harmonic analysis (ICMAT, Madrid, Spain). Organizers: José Manuel Conde Alonso, Adrián González Pérez and Zhen-Chuan Liu. 

• 2023-2025. Analysis seminar UAM-ICMAT (UAM and ICMAT, Madrid, Spain). Organizer: José Manuel Conde Alonso.