Boundedness of fractional operators on ๐ฟ^{๐} spaces with different weights
Boundedness of fractional operators on ๐ฟ^{๐} spaces with different weights
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper T Subscript alpha"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>T</mml:mi> <mml:mi>ฮฑ<!-- ฮฑ --></mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{T_\alpha }</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be either the fractional integral operator <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="integral f left-parenthesis y right-parenthesis StartAbsoluteValue x minus y EndAbsoluteValue Superscript alpha minus n d โฆ