T(1) Theorem : Distribution (Mathematics), Kernel (Integral Operator)

Language: English

Published by Omniscriptum, 2010

6131156913 / 9786131156915

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nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In mathematics, the T(1) theorem, first proved by David & Journé (1984), describes when an operator T given by a kernel can be extended to a bounded linear operator on the Hilbert space L2(Rn). The name T(1) theorem refers to a condition on the distribution T(1), given by the operator T applied to the function 1. Suppose that T is a continuous operator from Schwartz functions on Rn to tempered distributions, so that T is given by a kernel K which is a distribution. Assume that the kernel is standard, which means that off the diagonal it is given by a function satisfying certain conditions. Then the T(1) theorem states that T can be extended to a bounded operator on the Hilbert space L2(Rn) if and only if the following conditions are satisfied: T(1) is of bounded mean oscillation (where T is extended to an operator on bounded smooth functions, such as 1). T (1) is of bounded mean oscillation, where T is the adjoint of T. T is weakly bounded, a weak condition that is easy to verify in practice.…

Seller Inventory # 9786131156915

Title
T(1) Theorem : Distribution (Mathematics), Kernel (Integral Operator)
Author
Miriam T. Timpledon
Publisher
Omniscriptum
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
6131156913
ISBN 13
9786131156915
Item weight
137 grams
Dimensions
220x150x5 mm

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