We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition
In this paper, the authors discuss the weighted $L^p$ boundedness for the rough Marcinkiewicz integr...
"Suppose that $¥Omega(x^{¥prime}, y^{¥prime})¥in L^{1}(S^{n-1}¥times S^{m-1})$ is ahomogeneous funct...
AbstractWe prove that for dimension ≥3, the generalized Marcinkiewicz integral with certain rough ke...
AbstractThis paper is primarily concerned with proving the Lp boundedness of Marcinkiewicz integral ...
The authors prove that Marcinkiewicz integral operator is not only are bounded on Lp, for 1<P<∞, but...
In this paper, we establish an Lp boundedness result of a class of Marcinkiewicz integral operators ...
In this paper, we study Marcinkiewicz integral operators with rough kernels supported by surfaces gi...
AbstractIn this paper we prove the Lp-boundedness of some Marcinkiewicz integral operators along sur...
National Natural Science Foundation of China [G11071200]; Natural Science Foundation of Fujian Provi...
Let L = -Delta + V be a Schrodinger operator, where Delta is the Laplacian on R-n, while nonnegative...
Let L=-Δ+V be a Schrödinger operator, where V belongs to some reverse Hölder class. The authors esta...
By means of the method of block decompositions for kernel functions and some delicate estimates on F...
In this article, the authors obtain the boundedness of the fractional Marcinkiewicz integral with va...
AbstractIn this paper, the authors study the boundedness of the Marcinkiewicz integral μΩ on BMO(Rn)...
The $L^p$ boundedness(1 < p < ∞) of Littlewood-Paley's g-function, Lusin's S function, Littlewood-Pa...
In this paper, the authors discuss the weighted $L^p$ boundedness for the rough Marcinkiewicz integr...
"Suppose that $¥Omega(x^{¥prime}, y^{¥prime})¥in L^{1}(S^{n-1}¥times S^{m-1})$ is ahomogeneous funct...
AbstractWe prove that for dimension ≥3, the generalized Marcinkiewicz integral with certain rough ke...
AbstractThis paper is primarily concerned with proving the Lp boundedness of Marcinkiewicz integral ...
The authors prove that Marcinkiewicz integral operator is not only are bounded on Lp, for 1<P<∞, but...
In this paper, we establish an Lp boundedness result of a class of Marcinkiewicz integral operators ...
In this paper, we study Marcinkiewicz integral operators with rough kernels supported by surfaces gi...
AbstractIn this paper we prove the Lp-boundedness of some Marcinkiewicz integral operators along sur...
National Natural Science Foundation of China [G11071200]; Natural Science Foundation of Fujian Provi...
Let L = -Delta + V be a Schrodinger operator, where Delta is the Laplacian on R-n, while nonnegative...
Let L=-Δ+V be a Schrödinger operator, where V belongs to some reverse Hölder class. The authors esta...
By means of the method of block decompositions for kernel functions and some delicate estimates on F...
In this article, the authors obtain the boundedness of the fractional Marcinkiewicz integral with va...
AbstractIn this paper, the authors study the boundedness of the Marcinkiewicz integral μΩ on BMO(Rn)...
The $L^p$ boundedness(1 < p < ∞) of Littlewood-Paley's g-function, Lusin's S function, Littlewood-Pa...
In this paper, the authors discuss the weighted $L^p$ boundedness for the rough Marcinkiewicz integr...
"Suppose that $¥Omega(x^{¥prime}, y^{¥prime})¥in L^{1}(S^{n-1}¥times S^{m-1})$ is ahomogeneous funct...
AbstractWe prove that for dimension ≥3, the generalized Marcinkiewicz integral with certain rough ke...