02726nam 2200589 450 99646637530331620220304101253.03-540-48295-410.1007/BFb0073448(CKB)1000000000437168(SSID)ssj0000324628(PQKBManifestationID)12079261(PQKBTitleCode)TC0000324628(PQKBWorkID)10313236(PQKB)11436459(DE-He213)978-3-540-48295-6(MiAaPQ)EBC5610797(Au-PeEL)EBL5610797(OCoLC)1078996415(MiAaPQ)EBC6842588(Au-PeEL)EBL6842588(OCoLC)793079348(PPN)155197622(EXLCZ)99100000000043716820220304d1994 uy 0engurnn|008mamaatxtccrMartingale Hardy spaces and their applications in Fourier analysis /Ferenc Weisz1st ed. 1994.Berlin :Springer-Verlag,[1994]©19941 online resource (VIII, 224 p.) Lecture notes in mathematics ;1568Bibliographic Level Mode of Issuance: Monograph3-540-57623-1 Preliminaries and notations -- One-parameter Martingale Hardy spaces -- Two-Parameter Martingale Hardy spaces -- Tree martingales -- Real interpolation -- Inequalities for Vilenkin-fourier coefficients.This book deals with the theory of one- and two-parameter martingale Hardy spaces and their use in Fourier analysis, and gives a summary of the latest results in this field. A method that can be applied for both one- and two-parameter cases, the so-called atomic decomposition method, is improved and provides a new and common construction of the theory of one- and two-parameter martingale Hardy spaces. A new proof of Carleson's convergence result using martingale methods for Fourier series is given with martingale methods. The book is accessible to readers familiar with the fundamentals of probability theory and analysis. It is intended for researchers and graduate students interested in martingale theory, Fourier analysis and in the relation between them.Lecture notes in mathematics (Springer-Verlag) ;1568.Martingales (Mathematics)Martingales (Mathematics)519.287Weisz Ferenc1964-60660MiAaPQMiAaPQMiAaPQBOOK996466375303316Martingale Hardy spaces and their applications in Fourier analysis78727UNISA