Noch Fragen? 0800 / 33 82 637

Summability of Multi-Dimensional Fourier Series and Hardy Spaces

Produktform: Buch / Einband - flex.(Paperback)

The history of martingale theory goes back to the early fifties when Doob [57] pointed out the connection between martingales and analytic functions. On the basis of Burkholder's scientific achievements the mar tingale theory can perfectly well be applied in complex analysis and in the theory of classical Hardy spaces. This connection is the main point of Durrett's book [60]. The martingale theory can also be well applied in stochastics and mathematical finance. The theories of the one-parameter martingale and the classical Hardy spaces are discussed exhaustively in the literature (see Garsia [83], Neveu [138], Dellacherie and Meyer [54, 55], Long [124], Weisz [216] and Duren [59], Stein [193, 194], Stein and Weiss [192], Lu [125], Uchiyama [205]). The theory of more-parameter martingales and martingale Hardy spaces is investigated in Imkeller [107] and Weisz [216]. This is the first mono graph which considers the theory of more-parameter classical Hardy spaces. The methods of proofs for one and several parameters are en tirely different; in most cases the theorems stated for several parameters are much more difficult to verify. The so-called atomic decomposition method that can be applied both in the one-and more-parameter cases, was considered for martingales by the author in [216].weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Sprache(n): Englisch

ISBN: 978-90-481-5992-5 / 978-9048159925 / 9789048159925

Verlag: Springer Netherland

Erscheinungsdatum: 07.12.2010

Seiten: 332

Auflage: 1

Zielgruppe: Research

Autor(en): Ferenc Weisz

106,99 € inkl. MwSt.
kostenloser Versand

lieferbar - Lieferzeit 10-15 Werktage

zurück