Project description
Boosting research into weight functions and norm inequalities
Weight functions play a fundamental role in harmonic analysis, for example in fundamental norm inequalities such as the reverse Hölder's inequality for Muckenhoupt weights and the John-Nirenberg estimate for functions of bounded mean oscillation. Funded by the Marie Skłodowska-Curie Actions programme, the GEOHARWeights project will delve deeper into such inequalities, further develop the theory of Békollé-Bonami weights, and describe the geometry of extension domains for these classes of weights. Combining classical harmonic and geometric analysis tools with probabilistic techniques, GEOHARWeights is expected to significantly advance this field.
Objective
"Our research focuses on the study of geometric and analytical aspects of various classes of weight functions that are ubiquitous in harmonic analysis. The main goals of this project are to substantially improve some of the well-known fundamental norm inequalities for Muckenhoupt weights (the Reverse Hölder Inequality) and BMO functions (the John-Nirenberg estimate), to continue developing the theory of Békollé-Bonami weights in all dimensions, and to describe the geometry of the extension domains for both classes of weights. Our methods combine classical tools in harmonic and geometric analysis with more sophisticated probabilistic techniques that have been employed in the theory of Calderón-Zygmund operators in the setting of non-doubling measures, and in sharp maximal inequalities.
The proposal is based at the Department of Mathematical Sciences (IMF), NTNU, Trondheim, Norway, with Karl-Mikael Perfekt as the supervisor of the fellowship.
In addition to the research outcomes, the plan include lecturing and supervising activities, dissemination of the results in conferences, and participation in outreach activities organized by the NTNU. The research will be carried out within the research group ""Fourier Analysis and Multiplicative Analysis"", at the same department, whose Principal Investigator is Kristian Seip."
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2023-PF-01
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
7491 TRONDHEIM
Norway
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.