The oscillation of an operator on ๐ฟ^{๐}
The oscillation of an operator on ๐ฟ^{๐}
We introduce and discuss the oscillation of an operator <italic>T</italic> mapping <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript p Baseline left-parenthesis upper S comma normal upper Sigma comma mu right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>S</mml:mi> <mml:mo>,</mml:mo> <mml:mi mathvariant="normal">ฮฃ<!-- ฮฃ --></mml:mi> <mml:mo>,</mml:mo> <mml:mi>ฮผ<!-- ฮผ โฆ