LEADER 03988nam 2201117z- 450 001 9910576885603321 005 20220621 035 $a(CKB)5720000000008318 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/84485 035 $a(oapen)doab84485 035 $a(EXLCZ)995720000000008318 100 $a20202206d2022 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aRecent Developments of Function Spaces and Their Applications I 210 $aBasel$cMDPI - Multidisciplinary Digital Publishing Institute$d2022 215 $a1 online resource (408 p.) 311 08$a3-0365-4017-2 311 08$a3-0365-4018-0 330 $aThis 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 Caldero?n operators, the characterization of pointwise multipliers, estimates of anisotropic logarithmic potential, as well as certain Dirichlet problems for the Schro?dinger equation. 606 $aMathematics & science$2bicssc 606 $aResearch & information: general$2bicssc 610 $a(localized) John-Nirenberg-Campanato space 610 $a(mixed-norm) Hardy space 610 $aanisotropic log-potential 610 $aanisotropy 610 $aannulus body 610 $abesov space 610 $abilinear estimate 610 $ablock spaces 610 $aBMO 610 $aCaldero?n operator 610 $aCaldero?n-Zygmund operator 610 $acapacity 610 $acommutator 610 $acommutators 610 $acompact manifolds 610 $acongruent cube 610 $acontinuous ellipsoid cover 610 $aconvexification 610 $acube 610 $adifferential operators 610 $aDirichlet problem 610 $adual log-mixed volume 610 $aduality 610 $aEuclidean space 610 $aexpansive matrix 610 $aextrapolation 610 $afractional Laplacian 610 $ageneralized smoothness 610 $aHaj?asz-Besov space 610 $aHaj?asz-Sobolev space 610 $aHaj?asz-Triebel-Lizorkin space 610 $aHardy inequality 610 $ahardy space 610 $aHardy space 610 $aHardy's inequality 610 $ahomogeneous group 610 $aJNp 610 $aLebesgue point 610 $alocal block space 610 $alocal Morrey space 610 $amaximal function 610 $ametric measure space 610 $ameyer wavelet 610 $amolecule 610 $aMorrey space 610 $aMorrey spaces 610 $aoptimal polynomial inequality 610 $aparaproduct 610 $apointwise multipliers 610 $areal interpolation 610 $aRiesz potential 610 $aRiesz-Morrey space 610 $aSchro?dinger equation 610 $aSobolev spaces 610 $aspace of homogeneous type 610 $aT(1) theorem 610 $atensor bundles 610 $aTriebel-Lizorkin space 610 $auniform domain 610 $avanishing John-Nirenberg space 610 $avariable Lebesgue space 615 7$aMathematics & science 615 7$aResearch & information: general 700 $aYang$b Dachun$4edt$0479675 702 $aYuan$b Wen$4edt 702 $aYang$b Dachun$4oth 702 $aYuan$b Wen$4oth 906 $aBOOK 912 $a9910576885603321 996 $aRecent Developments of Function Spaces and Their Applications I$93038172 997 $aUNINA