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20032018
most citedLittlewood-Paley decompositions and Besov spaces related to symmetric cones

5 citations · 9 across the 6 of their papers we have counts for

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9 papers

math.CA2018

Atomic decomposition and Weak Factorization for Bergman-Orlicz spaces

David Bekolle, Aline Bonami, Edgar Tchoundja

For the unit ball of , we consider Bergman-Orlicz spaces of holomorphic functions in , which are generalizations of classical Bergman…

math.CA2017

Some Carleson measures for the Hilbert-Hardy space of tube domains over symmetric cones

David Békollé, Benoît F. Sehba

In this note, we obtain a full characterization of radial Carleson measures for the Hilbert-Hardy space on tube domains over symmetric cones. For large derivatives, we also obtain…

math.CA2017

Atomic decomposition and interpolation via the complex method for mixed norm Bergman spaces on tube domains over symmetric cones

David Bekolle, Jocelyn Gonessa, Cyrille Nana

Starting from an adapted Whitney decomposition of tube domains in $\C^n$ over irreducible symmetric cones of we prove an atomic decomposition theorem in mixed norm weighted…

math.CA2017★ 1 cited

Bergman-Lorentz spaces on tube domains over symmetric cones

David Bekolle, Jocelyn, Cyrille Nana

We study Bergman-Lorentz spaces on tube domains over symmetric cones, i.e. spaces of holomorphic functions which belong to Lorentz spaces We establish boundedness and su…

math.CA2017★ 3 cited

Lebesgue mixed norm estimates for Bergman projectors: from tube domains over homogeneous cones to homogeneous Siegel domains of type II

David Bekolle, Jocelyn Gonessa, Cyrille Nana

We present a transference principle of Lebesgue mixed norm estimates for Bergman projectors from tube domains over homogeneous cones to homogeneous Siegel domains of type II associ…

math.CA2016

The Duren-Carleson theorem in tube domains over symmetric cones

David Békollé, Benoît F. Sehba, Edgar L. Tchoundja

In the setting of tube domains over symmetric cones, , we study the characterization of the positive Borel measures for which the Hardy space is continuously embedde…