03988nam 2201117z- 450 991057688560332120220621(CKB)5720000000008318(oapen)https://directory.doabooks.org/handle/20.500.12854/84485(oapen)doab84485(EXLCZ)99572000000000831820202206d2022 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierRecent Developments of Function Spaces and Their Applications IBaselMDPI - Multidisciplinary Digital Publishing Institute20221 online resource (408 p.)3-0365-4017-2 3-0365-4018-0 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.Mathematics & sciencebicsscResearch & information: generalbicssc(localized) John-Nirenberg-Campanato space(mixed-norm) Hardy spaceanisotropic log-potentialanisotropyannulus bodybesov spacebilinear estimateblock spacesBMOCalderón operatorCalderón-Zygmund operatorcapacitycommutatorcommutatorscompact manifoldscongruent cubecontinuous ellipsoid coverconvexificationcubedifferential operatorsDirichlet problemdual log-mixed volumedualityEuclidean spaceexpansive matrixextrapolationfractional Laplaciangeneralized smoothnessHajłasz-Besov spaceHajłasz-Sobolev spaceHajłasz-Triebel-Lizorkin spaceHardy inequalityhardy spaceHardy spaceHardy's inequalityhomogeneous groupJNpLebesgue pointlocal block spacelocal Morrey spacemaximal functionmetric measure spacemeyer waveletmoleculeMorrey spaceMorrey spacesoptimal polynomial inequalityparaproductpointwise multipliersreal interpolationRiesz potentialRiesz-Morrey spaceSchrödinger equationSobolev spacesspace of homogeneous typeT(1) theoremtensor bundlesTriebel-Lizorkin spaceuniform domainvanishing John-Nirenberg spacevariable Lebesgue spaceMathematics & scienceResearch & information: generalYang Dachunedt479675Yuan WenedtYang DachunothYuan WenothBOOK9910576885603321Recent Developments of Function Spaces and Their Applications I3038172UNINA