{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","description":"This cluster of papers covers topics in harmonic analysis and operator theory, including Fourier multiplier theorems, Calder\u00f3n\u2013Zygmund theory, maximal operators, Hardy spaces, singular integrals, Morrey spaces, boundedness of operators, elliptic operators, weighted estimates, and various function spaces.","keywords":[{"id":"https://openalex.org/keywords/singular-integrals","display_name":"singular integrals","score":0.5388},{"id":"https://openalex.org/keywords/boundedness","display_name":"boundedness","score":0.3441},{"id":"https://openalex.org/keywords/singular-integral-operators","display_name":"singular integral operators","score":0.7293},{"id":"https://openalex.org/keywords/maximal-functions","display_name":"maximal operators","score":0.8401},{"id":"https://openalex.org/keywords/weighted-norm-inequalities","display_name":"weighted inequalities","score":0.6586},{"id":"https://openalex.org/keywords/commutators","display_name":"commutators","score":0.2934},{"id":"https://openalex.org/keywords/weighted-lebesgue-spaces","display_name":"weighted Lebesgue spaces","score":0.658},{"id":"https://openalex.org/keywords/hardy-spaces","display_name":"Hardy spaces","score":0.2526},{"id":"https://openalex.org/keywords/lp-boundedness","display_name":"Lp boundedness","score":0.8185},{"id":"https://openalex.org/keywords/lp-estimates","display_name":"Lp estimates","score":0.4231},{"id":"https://openalex.org/keywords/besov-spaces","display_name":"Besov spaces","score":0.2648},{"id":"https://openalex.org/keywords/bounded-mean-oscillation","display_name":"bounded mean oscillation","score":0.663},{"id":"https://openalex.org/keywords/calderon-zygmund-operators","display_name":"Calder\u00f3n-Zygmund operators","score":0.9509},{"id":"https://openalex.org/keywords/morrey-spaces","display_name":"Morrey spaces","score":0.6599},{"id":"https://openalex.org/keywords/riesz-transforms","display_name":"Riesz transforms","score":0.6436},{"id":"https://openalex.org/keywords/atomic-decomposition","display_name":"atomic decomposition","score":0.5633},{"id":"https://openalex.org/keywords/fourier-multipliers","display_name":"Fourier multipliers","score":0.5666},{"id":"https://openalex.org/keywords/maximal-inequalities","display_name":"maximal inequalities","score":0.5461},{"id":"https://openalex.org/keywords/triebel-lizorkin-spaces","display_name":"Triebel-Lizorkin spaces","score":0.7053},{"id":"https://openalex.org/keywords/hardy-littlewood-maximal-operator","display_name":"Hardy-Littlewood maximal operator","score":0.9334},{"id":"https://openalex.org/keywords/boundedness-of-operators","display_name":"boundedness of operators","score":0.4763},{"id":"https://openalex.org/keywords/spaces-of-homogeneous-type","display_name":"spaces of homogeneous type","score":0.9243},{"id":"https://openalex.org/keywords/muckenhoupt-weights","display_name":"Muckenhoupt weights","score":0.7288},{"id":"https://openalex.org/keywords/convolution-operators","display_name":"convolution operators","score":0.2186},{"id":"https://openalex.org/keywords/almost-everywhere-convergence","display_name":"almost everywhere convergence","score":0.3244}],"legacy_keywords":"Fourier Multiplier Theorems; Calder\u00f3n\u2013Zygmund Theory; Maximal Operators; Hardy Spaces; Singular Integrals; Morrey Spaces; Boundedness; Elliptic Operators; Weighted Estimates; Function Spaces","ids":{"openalex":"https://openalex.org/T11049","wikipedia":"https://en.wikipedia.org/wiki/Harmonic_analysis"},"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations"},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows"},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis"},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory"},{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions"},{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory"},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials"},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods"},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications"},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities"},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis"},{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results"},{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy"},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems"},{"id":"https://openalex.org/T12812","display_name":"Meromorphic and Entire Functions"},{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms"}],"works_count":46350,"cited_by_count":542639,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T11049","updated_date":"2026-10-20T03:01:21","created_date":"2024-01-23T15:27:09"}