Results 111 to 120 of about 2,482 (145)
It is proved that the boundedness of the maximal operator M from a Lebesgue space Lp1(R n) to a general local Morrey-type space LMp2θ ,w(R n) is equivalent to the boundedness of the embedding operator from Lp1 (R n) to LMp2θ ,w(R n) and in its turn to ...
V. Burenkov, M. Goldman
semanticscholar +1 more source
Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation.
Mitsuo Izuki+2 more
doaj +1 more source
A remark on fractional integrals on modulation spaces [PDF]
In this paper, we give the necessary and sufficient conditions for the boundedness of fractional integral operators on the modulation spaces.
arxiv
Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces
The main goal of the paper is to establish the boundedness of the fractional type Marcinkiewicz integral M β , ρ , q $\mathcal{M}_{\beta,\rho,q}$ on non-homogeneous metric measure space which includes the upper doubling and the geometrically doubling ...
Guanghui Lu, Shuangping Tao
doaj +1 more source
On the $L^2$-boundedness of pseudo-differential operators and their commutators with symbols in $α$-modulation spaces [PDF]
In this paper, we consider the $L^2$-boundedness of pseudo-differential operators with symbols in $\alpha$-modulation spaces.
arxiv
Trace ideals for pseudo-differential operators and their commutators with symbols in $α$-modulation spaces [PDF]
In this paper, we consider the trace property of pseudo-differential operators with symbols in $\alpha$-modulation spaces.
arxiv
Grand Triebel-Lizorkin-Morrey spaces
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the ...
Ho Kwok-Pun
doaj +1 more source
Bilinear multipliers on Lorenzt spaces [PDF]
We give one sufficient and two necessary conditions for boundedness between Lebesgue or Lorentz spaces of several classes of bilinear multiplier operators closely connected with the bilinear Hilbert transform.
arxiv
Carleson measure and balayage [PDF]
The balayage of a Carleson measure lies of course in BMO. We show that the converse statement is false. We also make a two-sided estimate of the Carleson norm of a positive measure in terms of balayages.
arxiv
On Schatten-von Neumann class properties of pseudo-differential operators. Boulkhemair's method [PDF]
We investigate the Schatten-von Neumann properties of pseudo-differential operators using the method proposed by A. Boulkhemair in \cite{Boulkhemair 2}. The symbols are elements of the ideals $S_{w}^{p}$ of the Sj\"ostrand algebra $S_{w}$.
arxiv