Recent Developments of Function Spaces and Their Applications I

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...

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Other Authors: Yang, Dachun (Editor), Yuan, Wen (Editor)
Format: Electronic Book Chapter
Language:English
Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
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245 1 0 |a Recent Developments of Function Spaces and Their Applications I 
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520 |a 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. 
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650 7 |a Research & information: general  |2 bicssc 
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653 |a expansive matrix 
653 |a (mixed-norm) Hardy space 
653 |a molecule 
653 |a Calderón-Zygmund operator 
653 |a real interpolation 
653 |a besov space 
653 |a meyer wavelet 
653 |a Euclidean space 
653 |a cube 
653 |a congruent cube 
653 |a BMO 
653 |a JNp 
653 |a (localized) John-Nirenberg-Campanato space 
653 |a Riesz-Morrey space 
653 |a vanishing John-Nirenberg space 
653 |a duality 
653 |a commutator 
653 |a commutators 
653 |a Riesz potential 
653 |a homogeneous group 
653 |a space of homogeneous type 
653 |a paraproduct 
653 |a T(1) theorem 
653 |a hardy space 
653 |a bilinear estimate 
653 |a Hajłasz-Sobolev space 
653 |a Hajłasz-Besov space 
653 |a Hajłasz-Triebel-Lizorkin space 
653 |a generalized smoothness 
653 |a Lebesgue point 
653 |a capacity 
653 |a pointwise multipliers 
653 |a Morrey spaces 
653 |a block spaces 
653 |a convexification 
653 |a Calderón operator 
653 |a Hardy's inequality 
653 |a variable Lebesgue space 
653 |a local Morrey space 
653 |a local block space 
653 |a extrapolation 
653 |a anisotropy 
653 |a Hardy space 
653 |a continuous ellipsoid cover 
653 |a maximal function 
653 |a anisotropic log-potential 
653 |a optimal polynomial inequality 
653 |a annulus body 
653 |a dual log-mixed volume 
653 |a Sobolev spaces 
653 |a compact manifolds 
653 |a tensor bundles 
653 |a differential operators 
653 |a Triebel-Lizorkin space 
653 |a Hardy inequality 
653 |a uniform domain 
653 |a fractional Laplacian 
653 |a Schrödinger equation 
653 |a Morrey space 
653 |a Dirichlet problem 
653 |a metric measure space 
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