منابع مشابه
Extension of a Theorem of Carleson
Carleson's proof of this theorem involves a difficult covering argument and the consideration of a certain quadratic form (see also [ l ] ) . L. Hörmander later found a proof which appeals to the Marcinkiewicz interpolation theorem and avoids any discussion of quadratic forms. The main difficulty in this approach is to show that a certain sublinear operator is of weak type (1, 1). Here a coveri...
متن کاملA Variation Norm Carleson Theorem
By a standard approximation argument it follows that S[f ] may be meaningfully defined as a continuous function in ξ for almost every x whenever f ∈ L and the a priori bound of the theorem continues to hold for such functions. Theorem 1.1 is intimately related to almost everywhere convergence of partial Fourier sums for functions in L[0, 1]. Via a transference principle [12], it is indeed equiv...
متن کاملA Generalization of the Rudin-carleson Theorem
The purpose of this paper is to prove a common generalization of a theorem due to T. W. Gamelin [3] and a theorem due to Z. Semadeni [5]. Both these results are generalizations of E. Bishop's abstract version of the well-known RudinCarleson theorem [2]. In the following X denotes a compact Hausdorff space, F a closed subset of X and C(A') and C(F) denote the spaces of all complex-valued functio...
متن کاملA FUZZY VERSION OF HAHN-BANACH EXTENSION THEOREM
In this paper, a fuzzy version of the analytic form of Hahn-Banachextension theorem is given. As application, the Hahn-Banach theorem for$r$-fuzzy bounded linear functionals on $r$-fuzzy normedlinear spaces is obtained.
متن کاملAn extension of the Wedderburn-Artin Theorem
In this paper we give conditions under which a ring is isomorphic to a structural matrix ring over a division ring.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1969
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1969-12181-6