Recent Developments of Function Spaces and Their Applications I

• その他の著者: Yang, Dachun (編集者), Yuan, Wen (編集者)
• フォーマット: 電子媒体 図書の章
• 言語: 英語
• 出版事項: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
• 主題: Research & information: general; Mathematics & science; expansive matrix; (mixed-norm) Hardy space; molecule; Calderón-Zygmund operator; real interpolation; besov space; meyer wavelet; Euclidean space; cube; congruent cube; BMO; JNp; (localized) John-Nirenberg-Campanato space; Riesz-Morrey space; vanishing John-Nirenberg space; duality; commutator; commutators; Riesz potential; homogeneous group; space of homogeneous type; paraproduct; T(1) theorem; hardy space; bilinear estimate; Hajłasz-Sobolev space; Hajłasz-Besov space; Hajłasz-Triebel-Lizorkin space; generalized smoothness; Lebesgue point; capacity; pointwise multipliers; Morrey spaces; block spaces; convexification; Calderón operator; Hardy's inequality; variable Lebesgue space; local Morrey space; local block space; extrapolation; anisotropy; Hardy space; continuous ellipsoid cover; maximal function; anisotropic log-potential; optimal polynomial inequality; annulus body; dual log-mixed volume; Sobolev spaces; compact manifolds; tensor bundles; differential operators; Triebel-Lizorkin space; Hardy inequality; uniform domain; fractional Laplacian; Schrödinger equation; Morrey space; Dirichlet problem; metric measure space
• オンライン･アクセス: DOAB: download the publication; DOAB: description of the publication

要約

This book includes 13 papers concerning some of the recent progress in the theory of function spaces and its applications. The involved function spaces include Morrey and weak Morrey spaces, Hardy-type spaces, John-Nirenberg spaces, Sobolev spaces, and Besov and Triebel-Lizorkin spaces on different underlying spaces, and they are applied in the study of problems ranging from harmonic analysis to potential analysis and partial differential equations, such as the boundedness of paraproducts and Calderón operators, the characterization of pointwise multipliers, estimates of anisotropic logarithmic potential, as well as certain Dirichlet problems for the Schrödinger equation.

物理的記述

1 electronic resource (408 p.)

ISBN

books978-3-0365-4018-4
9783036540177
9783036540184

アクセス

Open Access