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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Year of Publication:2022
Language:English
Physical Description:1 electronic resource (408 p.)
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ctrlnum (CKB)5720000000008318
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spelling Yang, Dachun edt
Recent Developments of Function Spaces and Their Applications I
Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
1 electronic resource (408 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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.
English
Research & information: general bicssc
Mathematics & science bicssc
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
3-0365-4017-2
3-0365-4018-0
Yuan, Wen edt
Yang, Dachun oth
Yuan, Wen oth
language English
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author2 Yuan, Wen
Yang, Dachun
Yuan, Wen
author_facet Yuan, Wen
Yang, Dachun
Yuan, Wen
author2_variant d y dy
w y wy
author2_role HerausgeberIn
Sonstige
Sonstige
title Recent Developments of Function Spaces and Their Applications I
spellingShingle Recent Developments of Function Spaces and Their Applications I
title_full Recent Developments of Function Spaces and Their Applications I
title_fullStr Recent Developments of Function Spaces and Their Applications I
title_full_unstemmed Recent Developments of Function Spaces and Their Applications I
title_auth Recent Developments of Function Spaces and Their Applications I
title_new Recent Developments of Function Spaces and Their Applications I
title_sort recent developments of function spaces and their applications i
publisher MDPI - Multidisciplinary Digital Publishing Institute
publishDate 2022
physical 1 electronic resource (408 p.)
isbn 3-0365-4017-2
3-0365-4018-0
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