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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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Bibliographic Details
Main Author: Yang, Dachun
Other Authors: Yuan, Wen
Format: eBook
Language:English
Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
Subjects:
Local Morrey Space
Sobolev Spaces
Bmo
Local Block Space
Maximal Function
Metric Measure Space
Mathematics & Science / Bicssc
Hardy's Inequality
Congruent Cube
T(1) Theorem
Differential Operators
Space Of Homogeneous Type
Morrey Space
Anisotropic Log-potential
Optimal Polynomial Inequality
(localized) John-nirenberg-campanato Space
Calderón Operator
Triebel-lizorkin Space
Block Spaces
Vanishing John-nirenberg Space
Fractional Laplacian
Commutator
Paraproduct
Variable Lebesgue Space
Tensor Bundles
Riesz Potential
Uniform Domain
Hardy Space
Convexification
Capacity
Meyer Wavelet
Jnp
Dirichlet Problem
Morrey Spaces
Euclidean Space
Expansive Matrix
Research & Information: General / Bicssc
Riesz-morrey Space
Homogeneous Group
Besov Space
Bilinear Estimate
Calderón-zygmund Operator
(mixed-norm) Hardy Space
Hajłasz-sobolev Space
Lebesgue Point
Dual Log-mixed Volume
Molecule
Generalized Smoothness
Commutators
Real Interpolation
Hajłasz-besov Space
Schrödinger Equation
Annulus Body
Hajłasz-triebel-lizorkin Space
Compact Manifolds
Cube
Extrapolation
Pointwise Multipliers
Anisotropy
Hardy Inequality
Continuous Ellipsoid Cover
Duality
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
Description
Summary: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.
Item Description:Creative Commons (cc), https://creativecommons.org/licenses/by/4.0/
Physical Description:1 electronic resource (408 p.)
ISBN:9783036540177
books978-3-0365-4018-4
9783036540184

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