Latest Articles for Analysis

A concise overview of quasi-abelian categories and bornological sheaves in mathematics.

An overview of Békollé-Bonami weights and their significance in mathematics.

This research investigates the links between shapes and mathematical functions.

An overview of Van der Corput's Theorem and its role in sequence analysis.

This study enhances understanding of pseudodifferential operators and their applications in sciences.

A concise overview of exceptional sets in mathematical projections and their significance.

This article investigates the properties and behaviors of minimal hypersurfaces in geometry.

A study on Sobolev sheaves and their role in mathematical environments.

A look at how groups transform spaces and the implications for mathematics.

Examining the relationship between Milnor fiber and Betti numbers in analytic functions.

A look into the various forms of convergence and their importance in mathematics.

An overview of key concepts in mathematical surfaces and their functions.

Examining energy minimization in harmonic maps within homotopy classes.

A guide to the links between measure theory, topology, and their applications.

Exploring the unique properties of non-simple systoles on hyperbolic surfaces.

An overview of Calderón-Zygmund operators and their role in noncommutative analysis.

An exploration of the Yamabe problem in geometry and curvature.

Explore the significance of Riesz transforms in mathematical analysis and beyond.

Study the structure and properties of groups in valued fields.

This paper discusses methods to address the Falconer distance set problem using new estimates.

A brief look into pseudodifferential operators and their significance in various fields.

An overview of key concepts in metric spaces and their interrelations.

Exploring the connections between sum of squares and half-regular functions.

This study extends classic inequalities into magnetic fractional Sobolev spaces, focusing on local and nonlocal contexts.

A look into weak solutions and nonlocal equations in modern mathematics.

Explore important aspects of Dirichlet forms and their applications in geometry and analysis.

Explore how traveling times reveal shapes of strictly convex obstacles in curved spaces.

An overview of locally compact hyperbolic groups and their geometric implications.

Examine the properties of cusp forms and their successive minima.

Exploring metrics in compact Kahler manifolds and their implications in various fields.

A look into the behavior of minimizers in variational problems and their importance.

A look into the Poincaré inequality and its connection to geometric properties.

Analyzing unique behaviors in dynamical systems on complex manifolds.

An exploration of metric measure spaces and their significance in mathematics.

This article explores the significance of Carrot John domains in mathematical problems.

A look into polynomial growth, cross-sections, and Banach algebras.

This article discusses Iwasawa invariants in Hida families and their connections to modular forms.

Exploring the behavior of averages across various curves in mathematical analysis.

Exploring the connections between spherical maximal functions, Hardy spaces, and Fourier integral operators.

Insights into Fourier integral operators, their properties, and practical applications.