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Hardy Operators On Euclidean Spaces And Related Topics (Hardcover)
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Hardy Operators On Euclidean Spaces And Related Topics (Hardcover)
Series: Series On Analysis, Applications And Computation, 11
Expected to ship within 10 - 15 working days
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In many branches of mathematical analysis and mathematical physics,
the Hardy operator and Hardy inequality are fundamentally important
and have been intensively studied ever since the pioneer
researches. This volume presents new properties of
higher-dimensional Hardy operators obtained by the authors and
their collaborators over the last decade. Its prime focus is on
higher-dimensional Hardy operators that are based on the spherical
average form.The key motivation for this monograph is based on the
fact that the Hardy operator is generally smaller than the
Hardy-Littlewood maximal operator, which leads to, on the one hand,
the operator norm of the Hardy operator itself being smaller than
the latter. On the other hand, the former characterizing the weight
function class or function spaces is greater than the latter.
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