Tent space boundedness via extrapolation

By P. Auscher, Cruz Prisuelos-Arribas. 2016

54 citations recorded by the source corpus.

We study the action of operators on tent spaces such as maximal operators, Calderón–Zygmund operators, Riesz potentials. We also consider singular non-integral operators. We obtain boundedness as an application of extrapolation methods in the Banach range. In the non Banach range, boundedness results for Calderón–Zygmund operators follow by using an appropriate atomic theory. We end with some consequences on amalgam spaces.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/97023b241b6b29cdab02ef34e6f487194d105dbb

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In Applied Mathematics

1. Dachun Yang
2. Wen Yuan
3. Yangyang Zhang
4. Songbai Wang
5. Yoshihiro Sawano
6. Jun Liu
7. Ciqiang Zhuo
8. Yuan Zhou

Citations in the corpus

• Weak Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces II: Littlewood–Paley Characterizations and Real Interpolation (2019, methodology): “classification of weak solutions in the natural classes for the boundary value problems of a tindependent elliptic system in the upper plane, and (E p r )t(R ) [in this case, Φ(τ) := τ for any τ ∈ [0,∞) with r ∈ (0,∞)], which was originally introduced by Auscher and Prisuelos-Arribas [9] and has bee”
• Real-variable characterizations of Orlicz-slice Hardy spaces (2018, methodology): “As a subspace of T q r (R n+1 + ), Auscher and Prisuelos-Arribas [7] introduced the space T q r (R n+1 + ) consisting of all functions F ∈ T qr (Rn+1+ ) which can be represented as ∑∞ i=1 λiAi with {λi}i∈N ∈ ℓq and T q r (R n+1 + )- atoms {Ai}i∈N satisfying the additional moment condition ∫ Rn+1+ Ai”