Harmonic Analysis/Functional Analysis BMO is the intersection of two translates of dyadic BMO

By Tao Mei. 2003

79 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e9b0da36e88188761084a7a347fd802eddc1af0d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Tuomas Hytönen
2. D. Cruz-Uribe
3. Javier Parcet
4. Tao Mei
5. Sandra Pott
6. G. Hong
7. M. Reguera
8. Andrei K. Lerner

Citations in the corpus

• Systems of dyadic cubes in a doubling metric space (2010, background): “Second, the representation of BMO(μ) as an intersection of finitely many dyadic BMO spaces, extending the Euclidean result in [20].”
• Sharp Bekolle estimates for the Bergman projection (2012, background): “The idea of considering shifts of the original dyadic grid to control non-dyadic objects (space norms, operators) by dyadic ones is well known to Harmonic Analysts and goes back to Garnett and Jones [13] and Christ [6] independently, we also refer the reader to the work of Tao Mei [21].”
• Operator Valued Hardy Spaces (2003, background): “AN ∪A ′ N,we have |a−b| ≥ 1 32 −N >|I|. Thus there is no more than one element of AN ∪A ′ N in I.Then I∩AN = φ or I∩A′ N = φ.Therefore, Imust be contained in some D kI N or D ′ k I N . Remark. See [15] for a generalization of Proposition 3.1. Remark. Ifan Mc-atom defined in Chapter2 admits its sup”
• Pseudo-localization of singular integrals and noncommutative Calderon-Zygmund theory (2007, background): “Here it is necessary to know how BMO is related to its dyadic version BMOd, see [16] and [35] for details.”
• Two weight norm inequalities for fractional integral operators and commutators (2014, methodology): “This idea has been variously attributed [56, 66] to Garnett or Garnett”
• Conical square function estimates in UMD Banach spaces and applications to H∞-functional calculi (2007, background): “We recall the following geometric lemma of Mei [23]:”
• Noncommutative maximal ergodic inequalities associated with doubling conditions (2017, methodology): “The approach is inspired by Mei’s famous work [Mei03, Mei07] which asserts that the usual continuous BMO space is the intersection of several dyadic BMO spaces. iii) Domination by Markov operators.”