Results 51 to 60 of about 522,225 (183)
Grothendieck’s theorem for operator spaces [PDF]
Inventiones mathematicae, 2002 More results and an additional section on Schur multipliers have been ...
Pisier, Gilles, Shlyakhtenko, Dimitri
openaire +4 more sources
Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces
Journal of Function Spaces, 2020 In this paper, we obtain the sharp bound for fractional conjugate Hardy operator on higher-dimensional product spaces from L1ℝn1×⋯×ℝnm to the space wLQℝn1×⋯×ℝnm and Lpℝn1×⋯×ℝnm to the space Lqℝn1×⋯×ℝnm. More generally, the operator norm of the fractional
Zequn Wang +3 more
doaj +1 more source
On Burenkov's extension operator preserving Sobolev-Morrey spaces on Lipschitz domains
, 2016 We prove that Burenkov's Extension Operator preserves Sobolev spaces built on general Morrey spaces, including classical Morrey spaces. The analysis concerns bounded and unbounded open sets with Lipschitz boundaries in the n-dimensional Euclidean space ...
Burenkov +8 more
core +1 more source
Operator valued Hardy spaces [PDF]
Memoirs of the American Mathematical Society, 2007 We give a systematic study on the Hardy spaces of functions with values in the non-commutative $L^p$-spaces associated with a semifinite von Neumann algebra ${\cal}M.$ This is motivated by the works on matrix valued Harmonic Analysis (operator weighted norm inequalities, operator Hilbert transform), and on the other hand, by the recent development on ...
openaire +2 more sources
Inequalities Involving Essential Norm Estimates of Product-Type Operators
Journal of Mathematics, 2021 Consider an open unit disk D=z∈ℂ ...
Manisha Devi, Ajay K. Sharma, Kuldip Raj
doaj +1 more source
, 2012 If $g$ is an analytic function in the unit disc $\D $ we consider the generalized Hilbert operator $\hg$ defined by {equation*}\label{H-g} \mathcal{H}_g(f)(z)=\int_0^1f(t)g'(tz)\,dt.
Galanopoulos, Petros +3 more
core +1 more source
Strict singularity of a Volterra-type integral operator on $H^p$ [PDF]
, 2015 We prove that a Volterra-type integral operator $T_gf(z) = \int_0^z f(\zeta)g'(\zeta)d\zeta, \, z \in \mathbb D,$ defined on Hardy spaces $H^p, \, 1 \le p < \infty,$ fixes an isomorphic copy of $\ell^p,$ if the operator $T_g$ is not compact.
Miihkinen, Santeri
core +2 more sources
The Method of almost convergence with operator of the form fractional order and applications
, 2016 The purpose of this paper is twofold. First, basic concepts such as Gamma function, almost convergence, fractional order difference operator and sequence spaces are given as a survey character.
Kadak, Ugur, Kirisci, Murat
core +1 more source
Morrey Spaces for Nonhomogeneous Metric Measure Spaces
Abstract and Applied Analysis, 2013 The authors give a definition of Morrey spaces for nonhomogeneous metric measure spaces and investigate the boundedness of some classical operators including maximal operator, fractional integral operator, and Marcinkiewicz integral operators.
Cao Yonghui, Zhou Jiang
doaj +1 more source
Generalized Hausdorff operator on Bergmann spaces
Concrete Operators, 2023 In this article, we considered the generalized Hausdorff operator ℋμ,ϕ,a{{\mathcal{ {\mathcal H} }}}_{\mu ,\phi ,a} on Bergmann space and determined the conditions on ϕ\phi and aa so that the operator is bounded.
Perumal Sasikala +1 more
doaj +1 more source