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

• Antonio Ismael Cano Mármol (Baylor University).

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

• Emiel Lorist (TU Delft).

• Jill Pipher (Brown University).

• Nathan Wagner (Brown University).

• Matteo Monti (Universitá di Bergamo).

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

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

• 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.

• 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.

• Tainara Borges, José M. Conde-Alonso, Jill Pipher and Nathan A. Wagner. Commutator estimates for Haar shifts with general measures. Preprint on arxiv. To appear in J. Funct. Anal. 

• 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

• 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.