We relate the decomposition over [a, b] of a measure dµ (on R) into absolutely continuous, pure point, and singular continuous pieces to the behavior of integrals _α∫^b(ImF(x + iε))^P dx as ε ↓ 0. Here F is the Borel a transform of dµ, that is, F(z) = (x - z)^(-1) dµ(x)
AbstractIn this paper, we shall study the continuity of singular integral operators αP+ + βP− where ...
Let Y and Z be compact metric spaces, and pi: Z → Y a continuous map of Z onto Y. Let µ be a positiv...
AbstractIt is shown, for n ⩾ m ⩾ 1, that there exist inner maps Φ: Bn → Bm with boundary values Φ∗: ...
We relate the decomposition over [a, b] of a measure dµ (on R) into absolutely continuous, pure poin...
We relate the decomposition over [a, b] of a measure dµ (on R) into absolutely continuous, pure poin...
summary:Let $G \subset\Bbb R^m$ $(m \ge2)$ be an open set with a compact boundary $B$ and let $\sigm...
summary:Let $G \subset\Bbb R^m$ $(m \ge2)$ be an open set with a compact boundary $B$ and let $\sigm...
AbstractIt is shown that for certain measures μ(dx), −∞ < x < ∞, the Hilbert transform Hf = P.V.1x ∗...
The purpose of this paper is to give a new proof of the Borel formula for the convolution product o...
Cataloged from PDF version of article.Let μ be a finite non-negative Borel measure. The classical Lé...
AbstractLet G be a compact group. If the trivial representation of G is not weakly contained in the ...
AbstractIn this paper we discuss relations between Fourier-Stieltjes transforms of (bounded Borel) m...
Let μ be a finite non-negative Borel measure. The classical Lévy-Raikov-Marcinkiewicz theorem states...
AbstractWe provide a new simple proof to the celebrated theorem of Poltoratskii concerning ratios of...
AbstractOur main theorem gives a condition on Borel measures μ on RN such that ∥ƒ∥p,dx − ∥ƒ∥p,μ (0 <...
AbstractIn this paper, we shall study the continuity of singular integral operators αP+ + βP− where ...
Let Y and Z be compact metric spaces, and pi: Z → Y a continuous map of Z onto Y. Let µ be a positiv...
AbstractIt is shown, for n ⩾ m ⩾ 1, that there exist inner maps Φ: Bn → Bm with boundary values Φ∗: ...
We relate the decomposition over [a, b] of a measure dµ (on R) into absolutely continuous, pure poin...
We relate the decomposition over [a, b] of a measure dµ (on R) into absolutely continuous, pure poin...
summary:Let $G \subset\Bbb R^m$ $(m \ge2)$ be an open set with a compact boundary $B$ and let $\sigm...
summary:Let $G \subset\Bbb R^m$ $(m \ge2)$ be an open set with a compact boundary $B$ and let $\sigm...
AbstractIt is shown that for certain measures μ(dx), −∞ < x < ∞, the Hilbert transform Hf = P.V.1x ∗...
The purpose of this paper is to give a new proof of the Borel formula for the convolution product o...
Cataloged from PDF version of article.Let μ be a finite non-negative Borel measure. The classical Lé...
AbstractLet G be a compact group. If the trivial representation of G is not weakly contained in the ...
AbstractIn this paper we discuss relations between Fourier-Stieltjes transforms of (bounded Borel) m...
Let μ be a finite non-negative Borel measure. The classical Lévy-Raikov-Marcinkiewicz theorem states...
AbstractWe provide a new simple proof to the celebrated theorem of Poltoratskii concerning ratios of...
AbstractOur main theorem gives a condition on Borel measures μ on RN such that ∥ƒ∥p,dx − ∥ƒ∥p,μ (0 <...
AbstractIn this paper, we shall study the continuity of singular integral operators αP+ + βP− where ...
Let Y and Z be compact metric spaces, and pi: Z → Y a continuous map of Z onto Y. Let µ be a positiv...
AbstractIt is shown, for n ⩾ m ⩾ 1, that there exist inner maps Φ: Bn → Bm with boundary values Φ∗: ...