Vertical versus conical square functions
By P. Auscher, S. Hofmann, J. M. Martell. 2010
49 citations recorded by the source corpus.
We study the difference between vertical and conical square functions in the abstract and also in the specific case where the square functions come from an elliptic operator.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/8ee66dc9941dcba17ce0e332b4c980ee27ad4291
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In Applied Mathematics
- Cruz Prisuelos-Arribas
- P. Auscher
- Dachun Yang
- S. Hofmann
- A. Mcintosh
- A. Axelsson
- J. M. Martell
- Svitlana Mayboroda
Citations in the corpus
- Change of angle in tent spaces (2011, methodology): “nly such that for any locally square integrable g, if Vg(x) = R ∞ 0 |g(t,x)|2 dt t 1 2 , kVgkp ≤ CkgkTp,2 1 , if p ≤ 2, kVgkp ≥ CkgkTp,2 1 , if p ≥ 2. The corollary was proved by a different method in [1] when p < 2 and the p > 2 case dates back to [9]. The opposite inequalities are false if p ”
- Tent space boundedness via extrapolation (2016, background): “efferman-Stein vector-valued weak type (1,1) inequality and then, the fact that the norm in L1(Rn) of the vertical function Vr(F) is controlled by the norm in L1(Rn) of the conical function Ar(F) (see [4]). For the third term, the needed weak type estimate is x ∈ Rn : Vr(T∗(F))(x) >λ . kVr(F)kL1(R”