165 citations
- Centre National de la Recherche ScientifiqueFR8 papers
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- Max Planck Institute for AstronomyDE4 papers
- National Astronomical Observatory of JapanJP4 papers
- The Graduate University for Advanced Studies, SOKENDAIJP4 papers
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7 papers · 1 filter
Hausdorff operators on holomorphic Hardy spaces and applications
Ha Duy Hung, Luong Dang Ky, Thai Thuan Quang
The aim of this paper is to characterize the nonnegative functions defined on for which the Hausdorff operator $$\mathscr H_φf(z)= \int_0^\infty f\left(\frac{z}{t}…
Norm of the Hausdorff operator on the real Hardy space
Ha Duy Hung, Luong Dang Ky, Thai Thuan Quang
Let be a nonnegative integrable function on . It is well-known that the Hausdorff operator generated by is bounded on the real Hardy space $H^1(\…
Atomic decomposition and weak factorization in generalized Hardy spaces of closed forms
Aline Bonami, Justin Feuto, Sandrine Grellier +1
We give an atomic decomposition of closed forms on R n , the coefficients of which belong to some Hardy space of Musielak-Orlicz type. These spaces are natural generalizations of w…
On weak-convergence in the localized Hardy spaces and its application
Dinh Thanh Duc, Ha Duy Hung, Luong Dang Ky
Let be a complete RD-space. Let be an admissible function on , which means that is a positive function on and there exist posi…
On the product of functions in and over spaces of homogeneous type
Luong Dang Ky
Let be an RD-space, which means that is a space of homogeneous type in the sense of Coifman-Weiss with the additional property that a reverse doubling pro…
An Hardy estimate for commutators of pseudo-differential operators
Ha Duy Hung, Luong Dang Ky
Let be a pseudo-differential operator whose symbol belongs to the Hörmander class with and . In presen…