02779nam 2200601 450 99646663750331620220305043824.03-540-46207-410.1007/BFb0091154(CKB)1000000000437425(SSID)ssj0000327629(PQKBManifestationID)12081542(PQKBTitleCode)TC0000327629(PQKBWorkID)10303168(PQKB)10414260(DE-He213)978-3-540-46207-1(MiAaPQ)EBC5595638(Au-PeEL)EBL5595638(OCoLC)1076236161(MiAaPQ)EBC6842500(Au-PeEL)EBL6842500(OCoLC)1058097085(PPN)155187708(EXLCZ)99100000000043742520220305d1989 uy 0engurnn|008mamaatxtccrWeighted hardy spaces /Jan-Olov Strömberg, Alberto Torchinsky1st ed. 1989.Berlin, Heidelberg :Springer-Verlag,[1989]©19891 online resource (VIII, 200 p.) Lecture Notes in Mathematics ;1381Bibliographic Level Mode of Issuance: Monograph3-540-51402-3 Weights -- Decomposition of weights -- Sharp maximal functions -- Functions in the upper half-space -- Extensions of distributions -- The Hardy spaces -- A dense class -- The atomic decomposition -- The basic inequality -- Duality -- Singular integrals and multipliers -- Complex interpolation.These notes give the basic ingredients of the theory of weighted Hardy spaces of tempered distribution on Rn and illustrate the techniques used. The authors consider properties of weights in a general setting; they derive mean value inequalities for wavelet transforms and introduce halfspace techniques with, for example, nontangential maximal functions and g-functions. This leads to several equivalent definitions of the weighted Hardy space HPW. Fourier multipliers and singular integral operators are applied to the weighted Hardy spaces and complex interpolation is considered. One tool often used here is the atomic decomposition. The methods developed by the authors using the atomic decomposition in the strictly convex case p>1 are of special interest.Lecture notes in mathematics (Springer-Verlag) ;1381.Hardy spacesHardy spaces.515.94Strömberg Jan-Olov59141Torchinsky AlbertoMiAaPQMiAaPQMiAaPQBOOK996466637503316Weighted hardy spaces262298UNISA02841nam 22005173a 450 991034667500332120250203235425.09783038973416303897341610.3390/books978-3-03897-341-6(CKB)4920000000094917(oapen)https://directory.doabooks.org/handle/20.500.12854/55284(ScCtBLL)fbb4cbe7-7a17-4a0f-b9ea-7e4b12acb1e5(OCoLC)1163808625(oapen)doab55284(EXLCZ)99492000000009491720250203i20192019 uu engurmn|---annantxtrdacontentcrdamediacrrdacarrierOperators of Fractional Calculus and Their ApplicationsHari Mohan SrivastavaMDPI - Multidisciplinary Digital Publishing Institute2019Basel, Switzerland :MDPI,2019.1 electronic resource (136 p.)9783038973409 3038973408 During the past four decades or so, various operators of fractional calculus, such as those named after Riemann-Liouville, Weyl, Hadamard, Grunwald-Letnikov, Riesz, Erdelyi-Kober, Liouville-Caputo, and so on, have been found to be remarkably popular and important due mainly to their demonstrated applications in numerous diverse and widespread fields of the mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional calculus operators provide several potentially useful tools for solving differential, integral, differintegral, and integro-differential equations, together with the fractional-calculus analogues and extensions of each of these equations, and various other problems involving special functions of mathematical physics, as well as their extensions and generalizations in one and more variables. In this Special Issue, we invite and welcome review, expository, and original research articles dealing with the recent advances in the theory of fractional calculus and its multidisciplinary applications.applied mathematicsfractional derivativesfractional derivatives associated with special functions of mathematical physicsfractional integro-differential equationsoperators of fractional calculusidentities and inequalities involving fractional integralsfractional differintegral equationschaos and fractional dynamicsfractional differentialfractional integralsSrivastava Hari Mohan1277894ScCtBLLScCtBLLBOOK9910346675003321Operators of Fractional Calculus and Their Applications4319011UNINA