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Characterizations of Hardy spaces associated with Laplace–Bessel operators

Characterizations of Hardy spaces associated with Laplace–Bessel operators In this paper, we obtain a characterization of $$H^{p}_{\varDelta _{\nu }}({\mathbb {R}}^{n}_{+})$$ H Δ ν p ( R + n ) Hardy spaces by using atoms associated with the radial maximal function, the nontangential maximal function and the grand maximal function related to $$\varDelta _{\nu }$$ Δ ν Laplace–Bessel operator for $$\nu >0$$ ν > 0 and $$1<p<\infty $$ 1 < p < ∞ . As an application, we further establish an atomic characterization of Hardy spaces $$H^{p}_{\varDelta _{\nu }}({\mathbb {R}}^{n}_{+})$$ H Δ ν p ( R + n ) in terms of the high order Riesz–Bessel transform for $$0<p\le 1$$ 0 < p ≤ 1 . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Characterizations of Hardy spaces associated with Laplace–Bessel operators

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References (39)

Publisher
Springer Journals
Copyright
Copyright © 2019 by Springer Nature Switzerland AG
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-019-00335-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, we obtain a characterization of $$H^{p}_{\varDelta _{\nu }}({\mathbb {R}}^{n}_{+})$$ H Δ ν p ( R + n ) Hardy spaces by using atoms associated with the radial maximal function, the nontangential maximal function and the grand maximal function related to $$\varDelta _{\nu }$$ Δ ν Laplace–Bessel operator for $$\nu >0$$ ν > 0 and $$1<p<\infty $$ 1 < p < ∞ . As an application, we further establish an atomic characterization of Hardy spaces $$H^{p}_{\varDelta _{\nu }}({\mathbb {R}}^{n}_{+})$$ H Δ ν p ( R + n ) in terms of the high order Riesz–Bessel transform for $$0<p\le 1$$ 0 < p ≤ 1 .

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Jul 22, 2019

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