Random series and bounded mean oscillation.
نویسندگان
چکیده
منابع مشابه
Vector Valued Measures of Bounded Mean Oscillation
The duality between Hl and BMO, the space of functions of bounded mean oscillation (see [JN]), was first proved by C. Fefferman (see [F], [FS]) and then other proofs of it were obtained . Using the atomic decomposition approach ([C], [L]) the author studied the problem of characterizing the dual space of Hl of vector-valued functions . In [B2] the author showed, for the case SZ = {Iz1 = 1}, tha...
متن کاملBounded-oscillation Pushdown Automata
We present an underapproximation for context-free languages by filtering out runs of the underlying pushdown automaton depending on how the stack height evolves over time. In particular, we assign to each run a number quantifying the oscillating behavior of the stack along the run. We study languages accepted by pushdown automata restricted to k-oscillating runs. We relate oscillation on pushdo...
متن کاملTime decay for the bounded mean oscillation of solutions of the Schrödinger and wave equations
Let u(x, t) be the solution of the Schrödinger or wave equation with L 2 initial data. We provide counterexamples to plausible conjectures involving the decay in t of the BMO norm of u(t, ·). The proofs make use of random methods, in particular, Brownian motion.
متن کاملBounded Mean Oscillation with Orlicz Norms and Duality of Hardy Spaces
then it is still true that ƒ E BMO and (1) holds with A < CA'. In fact, a proof similar to that of [2] shows that (1)' implies (2). If the constant 1/2 in (1)' is replaced by a larger number, the result is no longer true. Let us now assume that the numbers A and A' in (1) resp. (1)' are not uniform but depend on x (but not on Q containing x). We define Mf(x) resp. MQ/(X) as the infîmum of such ...
متن کاملMean oscillation of functions
The oscillatory behavior of functions with compactly supported Fourier transform is characterized in a quantiied way using various function spaces. In particular, the results in this paper show that the oscillations of a function at large scale are comparable to the oscillations of its samples on an appropriate discrete set of points. Several open questions about spaces of sequences are answere...
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: Michigan Mathematical Journal
سال: 1985
ISSN: 0026-2285
DOI: 10.1307/mmj/1029003134