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Weak type estimates for a singular convolution operator on the Heisenberg group

Weak type estimates for a singular convolution operator on the Heisenberg group

On the Heisenberg group <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper H Superscript n"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">H</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{\mathbb {H}^n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> with coordinates <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis z comma t right-parenthesis element-of double-struck upper C Superscript n times double-struck …