On weighted integrability of trigonometric series and 𝐿¹-convergence of Fourier series
On weighted integrability of trigonometric series and 𝐿¹-convergence of Fourier series
A result concerning integrability of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="f left-parenthesis x right-parenthesis upper L left-parenthesis 1 slash x right-parenthesis left-parenthesis g left-parenthesis x right-parenthesis upper L left-parenthesis 1 slash x right-parenthesis right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy="false">)</mml:mo> <mml:mi>L</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo>/</mml:mo> </mml:mrow> <mml:mi>x</mml:mi> …