Maximal Functions, Littlewood–Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting

Autor: Yongsheng Han, Ming-Yi Lee, Ji Li, Brett Wick

Publikováno v: Memoirs of the American Mathematical Society. 279

In this paper, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag setting. These characterisations include those via, the non-tangential and radial maximal function, the Littlewood–Paley s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8c03478b02734110839f7ab2b622737e
https://doi.org/10.1090/memo/1373

The Dirichlet space and related function spaces

Autor: Nicola Arcozzi, Richard Rochberg, Eric Sawyer, Brett Wick

Publikováno v: Mathematical Surveys and Monographs ISBN: 9781470450823

The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and functional analysis. It was introduced about100 years ago and continues to be an area of active current research. T

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15cebb88380cb96f388d308361eb1e2c
http://hdl.handle.net/11585/725461

Maximal Functions, Littlewood–Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting

Autor: Yongsheng Han, Ming-Yi Lee, Ji Li, Brett Wick

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The essential norm of operators on the Bergman space of vector–valued functions on the unit ball

Autor: Robert Rahm, Brett Wick

Publikováno v: Function Spaces in Analysis. :249-281

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::11fe8ea028583650eacf22aba43f5ebd
https://doi.org/10.1090/conm/645/12904

New estimates for the beurling-ahlfors operator on differential forms

Autor: Petermichl, S., Slavin, L., Brett Wick

Publikováno v: Scopus-Elsevier
Journal of Operator Theory
Journal of Operator Theory, Theta Foundation, 2011, 65 (2), pp.307-324
Journal of Operator Theory, 2011, 65 (2), pp.307-324

We establish new $p$-estimates for the norm of the generalized Beurling--Ahlfors transform $\mathcal{S}$ acting on form-valued functions. Namely, we prove that $\norm{\mathcal{S}}_{L^p(\R^n;\Lambda)\to L^p(\R^n;\Lambda)}\leq n(p^{*}-1)$ where $p^*=\m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89764c29f06988d65bd295885dc27838
http://www.scopus.com/inward/record.url?eid=2-s2.0-79955660801&partnerID=MN8TOARS