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  2. Regning og matematisk analyse
  3. Funktionsanalyse og transformation

Hardy Spaces on Homogeneous Groups

Af: Gerald B. Folland, Elias M. Stein Engelsk Paperback

Hardy Spaces on Homogeneous Groups

Af: Gerald B. Folland, Elias M. Stein Engelsk Paperback
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The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable attention in recent years because it led to a better understanding in Rn of such related topics as singular integrals, multiplier operators, maximal functions, and real-variable methods generally. Because of its fruitful development, a systematic exposition of some of the main parts of the theory is now desirable. In addition to this exposition, these notes contain a recasting of the theory in the more general setting where the underlying Rn is replaced by a homogeneous group.



The justification for this wider scope comes from two sources: 1) the theory of semi-simple Lie groups and symmetric spaces, where such homogeneous groups arise naturally as "boundaries," and 2) certain classes of non-elliptic differential equations (in particular those connected with several complex variables), where the model cases occur on homogeneous groups. The example which has been most widely studied in recent years is that of the Heisenberg group.

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The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable attention in recent years because it led to a better understanding in Rn of such related topics as singular integrals, multiplier operators, maximal functions, and real-variable methods generally. Because of its fruitful development, a systematic exposition of some of the main parts of the theory is now desirable. In addition to this exposition, these notes contain a recasting of the theory in the more general setting where the underlying Rn is replaced by a homogeneous group.



The justification for this wider scope comes from two sources: 1) the theory of semi-simple Lie groups and symmetric spaces, where such homogeneous groups arise naturally as "boundaries," and 2) certain classes of non-elliptic differential equations (in particular those connected with several complex variables), where the model cases occur on homogeneous groups. The example which has been most widely studied in recent years is that of the Heisenberg group.

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Produktdetaljer
Sprog: Engelsk
Sider: 286
ISBN-13: 9780691083100
Indbinding: Paperback
Udgave:
ISBN-10: 069108310X
Kategori: Funktionsanalyse og transformation
Udg. Dato: 21 jun 1982
Længde: 0mm
Bredde: 152mm
Højde: 235mm
Forlag: Princeton University Press
Oplagsdato: 21 jun 1982
Forfatter(e): Gerald B. Folland, Elias M. Stein
Forfatter(e) Gerald B. Folland, Elias M. Stein

Kategori Funktionsanalyse og transformation

ISBN-13 9780691083100

Sprog Engelsk

Indbinding Paperback

Sider 286

Udgave

Længde 0mm

Bredde 152mm

Højde 235mm

Udg. Dato 21 jun 1982

Oplagsdato 21 jun 1982

Forlag Princeton University Press

Kategori sammenhænge