1.

Record Nr.

UNINA9910788850003321

Autore

Bownik Marcin <1971->

Titolo

Anisotropic Hardy spaces and wavelets / / Marcin Bownik

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2003

ISBN

1-4704-0379-X

Descrizione fisica

1 online resource (136 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 781

Disciplina

510 s

515/.94

Soggetti

Hardy spaces

Wavelets (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 164, number 781 (third of 5 numbers)."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""Contents""; ""Chapter 1. Anisotropic Hardy Spaces""; ""1. Introduction""; ""2. The space of homogeneous type associated with the discrete group of dilations""; ""3. The grand maximal definition of anisotropic Hardy spaces""; ""4. The atomic definition of anisotropic Hardy spaces""; ""5. The Calderón-Zygmund decomposition for the grand maximal function""; ""6. The atomic decomposition of H[sup(p)]""; ""7. Other maximal definitions""; ""8. Duals of H[sup(p)]""; ""9. Calderón-Zygmund singular integrals on H[sup(p)]""; ""10. Classification of dilations""; ""Chapter 2. Wavelets""

""1. Introduction""""2. Wavelets in the Schwartz class""; ""3. Limitations on orthogonal wavelets""; ""4. Non-orthogonal wavelets in the Schwartz class""; ""5. Regular wavelets as an unconditional basis for H[sup(p)]""; ""6. Characterization of Hp  in terms of wavelet coefficients""; ""Notation Index""; ""Bibliography""