WebSep 1, 2011 · Analytic Hardy and BMO spaces on the quantum torus are introduced. Some basic properties of these spaces are presented. In ... analytic Hardy spaces. BMO space. Hilbert transforms. 2000 MR Subject Classification. 46L52. 46J15. Recommended articles. References 1. WB Arveson. Analyticity in operator algebra. Amer J Math, 89 (1967), pp. … WebJan 18, 2024 · In this paper we establish the product Hardy spaces associated with the Bessel Schrödinger operator introduced by Muckenhoupt and Stein, and provide …
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WebJan 18, 2024 · In this paper we establish the product Hardy spaces associated with the Bessel Schrödinger operator introduced by Muckenhoupt and Stein, and provide equivalent characterizations in terms of the Bessel Riesz transforms, non-tangential and radial maximal functions, and Littlewood--Paley theory, which are consistent with the classical product … WebThe first result in this direction is due to Musat in [Reference Musat 32] who proved a noncommutative analogue of where as introduced in [Reference Pisier and Xu 37], the …
WebLet X be a metric space with doubling measure, and L be a non-negative, self-adjoint operator satisfying Davies-Gaffney bounds on L 2 (X). In this article we present a theory of Hardy and BMO spaces associated to L, including an atomic (or molecular) decomposition, square function characterization, and duality of Hardy and BMO spaces. WebMar 1, 2024 · Abstract. Let M be a von Neumann algebra equipped with a normal semifinite faithful trace τ, and A be an expansive dilation on R n. In this article, the author …
WebJul 12, 2005 · In [19], Fefferman and Stein showed that the space BMO is the dual space of the Hardy space H1. They also obtained a characterization of the BMO space in … WebThey need not be bounded in the classical Hardy, BMO and even some Lp spaces. In this work we develop a theory of Hardy and BMO spaces associated to L, which includes, in …
WebBMO空间即有界平均振动空间 (bounded mean oscillation).BMO空间实际上是数学家F.John和L.Nirenberg在研究一类非线性偏微分方程 (PDE) 时提出的.不难想象,BMO 空间 …
WebAug 13, 2024 · For , let denote the noncommutative column conditioned martingale Hardy space and $\bmo^c (\M)$ denote the column \lq\lq little\rq\rq \ martingale BMO space … jc penney wall artWebJul 1, 2024 · BMOA-space. In 1961, F. John and L. Nirenberg [a4] introduced the space of functions of bounded mean oscillation, $\operatorname {BMO}$, in their study of … luther\u0027s bbqWebKeywords and phrases: local Hardy space, local BMO space atomi, c block, block, non-doubling measure, interpolation, duality. 1. Introduction In the whole paper we assume … jc penney towels for bathroomIn analysis on the real vector space R , the Hardy space H (for 0 < p ≤ ∞) consists of tempered distributions f such that for some Schwartz function Φ with ∫Φ = 1, the maximal function is in L (R ), where ∗ is convolution and Φt (x) = t Φ(x / t). The H -quasinorm f Hp of a distribution f of H is defined to be the L norm of MΦf (this depends on the choice of Φ, but different choices of Schwartz functions Φ give equivalent norms). The H -quasinorm is a norm when p ≥ 1, but not … jc penney thick yoga matWebApr 19, 2024 · Cauchy–Riemann type equations, product Hardy space, product BMO space. 1. 2 JORGE J. BET ANCOR, XUAN THINH DUONG, JI LI, BRETT D. WICK, AND DONGYONG YANG [CF]. luther\u0027s bbq houstonWebOct 14, 2024 · In this note, we prove a new \(L^4\)-estimate of the velocity by the technique of Hardy space \({\mathcal {H}}^1\) and BMO. Working on a manuscript? Avoid the common mistakes 1 Introduction. In this note, we consider the Cauchy problem of the 2D Navier-Stokes equations: jc penney\\u0027s christmas ornamentsIn harmonic analysis in mathematics, a function of bounded mean oscillation, also known as a BMO function, is a real-valued function whose mean oscillation is bounded (finite). The space of functions of bounded mean oscillation (BMO), is a function space that, in some precise sense, plays the same … See more According to Nirenberg (1985, p. 703 and p. 707), the space of functions of bounded mean oscillation was introduced by John (1961, pp. 410–411) in connection with his studies of mappings from a bounded set Ω belonging to R into … See more BMO functions are locally p–integrable BMO functions are locally L if 0 < p < ∞, but need not be locally bounded. In fact, using the John … See more Examples of BMO functions include the following: • All bounded (measurable) functions. If f is in L , then f BMO ≤ 2 f ∞: however, the converse is not true as the following example shows. • The function log( P ) for any polynomial P … See more Definition 1. The mean oscillation of a locally integrable function u over a hypercube Q in R is defined as the value of the following integral: • Q is the volume of Q, i.e. its Lebesgue measure • uQ is the average value of u on the cube Q, i.e. u Q … See more The spaces BMOH and BMOA When the dimension of the ambient space is 1, the space BMO can be seen as a linear subspace See more 1. ^ Aside with the collected papers of Fritz John, a general reference for the theory of functions of bounded mean oscillation, with also many (short) historical notes, is the noted book by Stein (1993, chapter IV). 2. ^ The paper (John 1961) just precedes the paper … See more jc penney\\u0027s bath towels