Results 31 to 40 of about 4,745,487 (60)
, 2009 Let L=-\Delta+V be a Schr\"odinger operator on R^d, d\geq 3. We assume that V is a nonnegative, compactly supported potential that belongs to L^p(R^d), for some p>d/2. Let K_t be the semigroup generated by -L.
A. Sikora +10 more
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A remark on singular Calderón-Zygmund theory
, 1987 It is shown that in Rn the operator +0 Hf(z) = pv j f(Xl-t, .. . tn)t-' dt maps L(logL) to weak Ll locally. A slight variant of the Calder6n-Zygmund procedure provides a rnew approach to the previously known LP boundedness of H, 1 o r-1 ...
M. Christ, E. Stein
semanticscholar +1 more source
A note on boundedness of operators in Grand Grand Morrey spaces
, 2011 In this note we introduce grand grand Morrey spaces, in the spirit of the grand Lebesgue spaces. We prove a kind of \textit{reduction lemma} which is applicable to a variety of operators to reduce their boundedness in grand grand Morrey spaces to the ...
A Almeida +15 more
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Some norm inequalities for commutators with symbol function in Morrey spaces
, 2014 A version of Dini condition is introduced. Some boundedness of commutators with symbol functions belong to Morrey spaces are discussed. The results can be seen as continuity of our recent work [28].
S. Shi, Shan-zhen Lu
semanticscholar +1 more source
Rough Maximal Oscillatory Singular Integral Operators [PDF]
, 2005 2000 Mathematics Subject Classification: Primary 42B20; Secondary 42B15, 42B25In this paper, we establish the L^p boundedness of certain maximal oscillatory singular integral operators with rough kernels belonging to certain block spaces.
Al-Salman, Ahmad
core
NON-ISOTROPIC SINGULAR INTEGRALS AND MAXIMAL OPERATORS ALONG SURFACES OF REVOLUTION
, 2013 The authors establish the Lp -mapping properties for a class of non-isotropic singular integrals along surfaces of revolution as well as the related maximal operators, where the integral kernels are given by functions Ω in L(log+L)α (Σ) .
D. Fan, Huo-xiong Wu, 伍火熊
semanticscholar +1 more source
The Stein-Weiss Type Inequality for Fractional Integrals, Associated with the Laplace-Bessel Differential Operator [PDF]
, 2008 2000 Math. Subject Classification: Primary 42B20, 42B25, 42B35In this paper we study the Riesz potentials (B -Riesz potentials) generated by the Laplace-Bessel differential operator ∆B.* Akif Gadjiev’s research is partially supported by the grant of ...
Gadjiev, Akif, Guliyev, Vagif
core
On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials [PDF]
, 2009 Mathematics Subject Classification: Primary 42B20, 42B25, 42B35In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...].
Guliyev, Emin
core
Singular Oscillatory Integrals on R^n
, 2009 Let Pd,n denote the space of all real polynomials of degree at most d on R^n. We prove a new estimate for the logarithmic measure of the sublevel set of a polynomial P in Pd,1.
A. Carbery +3 more
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Pointwise and integral estimates for the fractional integrals on the Laguerre hypergroup
, 2012 Let K = [0,∞)×R be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisenberg group. In this paper, some pointwise and integral estimates for the fractional integrals in terms of the maximal and fractional ...
V. Guliyev +2 more
semanticscholar +1 more source