𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Function theory in real Hardy spaces

✍ Scribed by Mrinal Raghupathi; Dinesh Singh


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
143 KB
Volume
284
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Harmonic functions on the real hyperboli
✍ Sandrine Grellier; Philippe Jaming πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 309 KB πŸ‘ 1 views

## Abstract In this paper, we pursue the study of harmonic functions on the real hyperbolic ball started in [13]. Our focus here is on the theory of Hardy‐Sobolev and Lipschitz spaces of these functions. We prove here that these spaces admit Fefferman‐Stein like characterizations in terms of maxima

On Hardy - Littlewood Maximal Functions
✍ H. Kita πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 664 KB

## Abstract Let Φ(__t__) and Ψ(__t__) be the functions having the following representations Φ(__t__) = ∫__a__(__s__)__ds__ and Ψ(__t__) = ∫__b__(__s__) __ds__, where __a__(__s__) is a positive continuous function such that ∫__a__(__s__)/s ds = + ∞ and __b__(__s__) is an increasing function such tha

Decompositions ofLpand Hardy Spaces of P
✍ Miroslav PavloviΔ‡ πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 186 KB

Let H 0p, q F ϱ, yϱ -␣ -ϱ denote the space of those polyhark monic functions f of order k on the unit n-ball for which the function r ¬ Ž . ␣ y 1 rq Ž . q Ž . 1yr M f ,r belongs to L 0, 1 . Our main result is that, when k G 2 and p Ž . ␣)y 1, the operator f ¬ Pf, ⌬ f , where Pf is the Poisson integ

On the Riemann Summability of Fourier In
✍ Ferenc MΓ³ricz πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 213 KB πŸ‘ 2 views

We consider the Riemann means of single and multiple Fourier integrals of functions belonging to L 1 or the real Hardy spaces defined on IR n , where n β‰₯ 1 is an integer. We prove that the maximal Riemann operator is bounded both from H 1 (IR) into L 1 (IR) and from L 1 (IR) into weak -L 1 (IR). We

Operator Theory in the Hardy Space over
✍ Rongwei Yang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 202 KB

This paper is a continuation of an effort to build an organized operator theory in H 2 (D 2 ). It studies self-commutators for certain operator pairs and defines some numerical invariants for submodules. The fringe operator, which captures much of the information of the pairs, is defined in the last