AbstractHere we consider the kernels Ω1(y, u) = K(y, u)ei|y−u|a for a > 1. We show that the operators Tƒ(y) = ∫ (Ω1(y + 12, u) − Ω1(y, u))ƒ(u) du map B(Rn) into itself. We also show that the operators ∫(Ω1(y, u)) ƒ(u) du map Lp into itself for p > 1
Let $ℇ_{(ω)}(Ω)$ denote the non-quasianalytic class of Beurling type on an open set Ω in $ℝ^n$. For ...
In this paper, we study the Lp mapping properties of a certain class of maximal oscillatory singular...
AbstractIn this paper, we study a classes of oscillatory singular integral operators of nonconvoluti...
AbstractHere we consider the kernels Ω1(y, u) = K(y, u)ei|y−u|a for a > 1. We show that the operator...
AbstractThis paper considers a convolution operator Tƒ = P.V. Ω * ƒ with Ω(x) = K(x)eih(x), where K(...
§1,IntroductionThe main purpose of this paper is to study the boundedness ofa class of oscillatory o...
AbstractFor aj,bj⩾1, j=1,2,…,d, we prove that the operator Kf(x)=∫R+dk(x,y)f(y)dy maps Lp(R+d) into ...
Convolution operators on Lp(0,1) have many similarities with the classical Volterra operator V, but ...
Abstract. We show that a bounded function m on R not necessarily integrable at infinity may still yi...
AbstractLet H′ be either the space K′1 of distributions of exponential growth or the space S′ of tem...
Let P be a non-negative, self-adjoint differential operator of degree d on Rn. Assume that the assoc...
AbstractLet Γ be a closed or unclosed unlimited contour, a shift α(t) maps homeomorphically the cont...
We establish L(P)-boundedness for a class of operators that are given by convolution with product ke...
We introduce a convolution form, in terms of integration over the unit disc D, for operators on func...
We consider here convolution operators, in the Caputo sense, with nonsingular kernels. We prove that...
Let $ℇ_{(ω)}(Ω)$ denote the non-quasianalytic class of Beurling type on an open set Ω in $ℝ^n$. For ...
In this paper, we study the Lp mapping properties of a certain class of maximal oscillatory singular...
AbstractIn this paper, we study a classes of oscillatory singular integral operators of nonconvoluti...
AbstractHere we consider the kernels Ω1(y, u) = K(y, u)ei|y−u|a for a > 1. We show that the operator...
AbstractThis paper considers a convolution operator Tƒ = P.V. Ω * ƒ with Ω(x) = K(x)eih(x), where K(...
§1,IntroductionThe main purpose of this paper is to study the boundedness ofa class of oscillatory o...
AbstractFor aj,bj⩾1, j=1,2,…,d, we prove that the operator Kf(x)=∫R+dk(x,y)f(y)dy maps Lp(R+d) into ...
Convolution operators on Lp(0,1) have many similarities with the classical Volterra operator V, but ...
Abstract. We show that a bounded function m on R not necessarily integrable at infinity may still yi...
AbstractLet H′ be either the space K′1 of distributions of exponential growth or the space S′ of tem...
Let P be a non-negative, self-adjoint differential operator of degree d on Rn. Assume that the assoc...
AbstractLet Γ be a closed or unclosed unlimited contour, a shift α(t) maps homeomorphically the cont...
We establish L(P)-boundedness for a class of operators that are given by convolution with product ke...
We introduce a convolution form, in terms of integration over the unit disc D, for operators on func...
We consider here convolution operators, in the Caputo sense, with nonsingular kernels. We prove that...
Let $ℇ_{(ω)}(Ω)$ denote the non-quasianalytic class of Beurling type on an open set Ω in $ℝ^n$. For ...
In this paper, we study the Lp mapping properties of a certain class of maximal oscillatory singular...
AbstractIn this paper, we study a classes of oscillatory singular integral operators of nonconvoluti...
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