TWO-WEIGHTED ESTIMATES OF RIEMANN-LIOUVILLE INTEGRALS
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Publication:5758404
DOI10.1070/IM1991v036n03ABEH002039zbMath0724.26011MaRDI QIDQ5758404
Publication date: 1991
Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Linear operators on function spaces (general) (47B38) Inequalities involving derivatives and differential and integral operators (26D10)
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Weighted norm inequalities for Riemann-Liouville fractional integrals of order less than one ⋮ A WEIGHTED HARDY'S INEQUALITY AND NONOSCILLATORY DIFFERENTIAL EQUATIONS ⋮ Weighted Hardy-Littlewood-Sobolev-type inequality for \(\psi\)-Riemann-Liouville fractional integrals ⋮ Boundedness of one class of integral operators from \(L_p\) to \(L_q\) for \(1<q<p<\infty\) ⋮ Potential operators on cones of nonincreasing functions ⋮ Conditions for embeddings of Sobolev spaces on a domain with anisotropic peak ⋮ On the boundedness and compactness of a certain integral operator ⋮ Итерационные интегральные операторы на конусе монотонных функций ⋮ Some criteria for boundedness and compactness of the Hardy operator with some special kernels ⋮ Compactness of Hardy--Steklov operator. ⋮ A sharp form of the Marcinkiewicz interpolation theorem for Orlicz spaces ⋮ Some second-order integral inequalities of generalized Hardy type ⋮ Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order \(r\) and zero ⋮ Reduction theorems for weighted integral inequalities on the cone of monotone functions ⋮ Some new Hardy-type inequalities for Riemann-Liouville fractional \(q\)-integral operator
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