| book details |

Operator Valued Hardy Spaces

By (author) Tao Mei

This book is currently unavailable. Enquire to check if we can source a used copy

| enquire |

| book description |

The author gives a systematic study of the Hardy spaces of functions with values in the noncommutative $Lp$-spaces associated with a semifinite von Neumann algebra $\mathcal{M .$ This is motivated by matrix valued Harmonic Analysis (operator weighted norm inequalities, operator Hilbert transform), as well as by the recent development of noncommutative martingale inequalities. In this paper noncommutative Hardy spaces are defined by noncommutative Lusin integral function, and it is proved that they are equivalent to those defined by noncommutative Littlewood-Paley G-functions. The main results of this paper include: (i) The analogue in the author's setting of the classical Fefferman duality theorem between $\mathcal{H 1$ and $\mathrm{BMO $. (ii) The atomic decomposition of the author's noncommutative $\mathcal{H 1.$ (iii) The equivalence between the norms of the noncommutative Hardy spaces and of the noncommutative $Lp$-spaces $(1 \infty )$. (iv) The noncommutative Hardy-Littlewood maximal inequality. (v) A description of BMO as an intersection of two dyadic BMO. (vi) The interpolation results on these Hardy spaces.

| product details |

| other options |

| back |

| your trolley |

To view the items in your trolley please sign in.

| sign in |

| specials |

The Colonialist: The Vision of Cecil Rhodes

William Kelleher Storey
Paperback / softback
528 pages
was: R 425.95
now: R 382.95
Usually dispatched in 6-12 days

This first comprehensive biography of Cecil Rhodes in a generation illuminates Rhodesâ€™s vision for the expansion of imperialism in southern Africa, connecting politics and industry to internal development, and examines how this fueled a lasting, white-dominated colonial society.

| more |

| add to trolley |

The Memory Collectors: A Novel

Dete Meserve
Paperback / softback
320 pages

Enquiries only

| more |

| enquire |

The Coming Wave: AI, Power and Our Future

Mustafa Suleyman
Paperback / softback
352 pages
was: R 295.95
now: R 265.95
Stock is usually dispatched in 6-12 days from date of order

| more |

| add to trolley |

Survive the AI Apocalypse: A guide for solutionists

Bronwyn Williams
Paperback / softback
232 pages
was: R 340.95
now: R 306.95
Stock is usually dispatched in 6-12 days from date of order

Look around you is anything real or normal any more? News, images and videos created by AI are everywhere.

| more |

| add to trolley |