Maximal Operator
Quantum stochastic calculus with maximal operator domains
... which agrees with the original one when restricted to exponential vectors. In this Itô calculus formulation operator composition of QS integrals is admitted. Under some conditions the domain of these QS integrals ...
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Global Poincaré inequalities for the composition of the sharp maximal operator and Green’s operator with Orlicz norms
... fundamental operator is the Hardy-Littlewood maximal opera- tor. The maximal function is a classical tool in harmonic analysis but recently it has been successfully used in studying Sobolev functions ...
9
Global Estimates for Singular Integrals of the Composition of the Maximal Operator and the Green's Operator
... homotopy operator T and the projection operator H and established some inequalities for these composite operators with singular ...the maximal operator and the Green’s operator over the ...
12
Boundedness of the maximal operator in the local Morrey Lorentz spaces
... 3. Calderón, AP: Intermediate spaces and interpolation, the complex method. Stud. Math. 24, 113-190 (1964) 4. Peetre, J: Nouvelles proprietes d’espaces d’interpolation. C. R. Math. Acad. Sci. Paris 256, 1424-1426 (1963) ...
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Dunkl Translation and Uncentered Maximal Operator on the Real Line
... The Hardy-Littlewood maximal function was first introduced by Hardy and Little- wood in 1930 for functions defined on the circle (see [4]). Later it was extended to various Lie groups, symmetric spaces, some ...
9
Two weight norm inequalities for the rough fractional integrals
... The authors give the weighted Lp , Lq -boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.. 2000 Mathe[r] ...
8
Global maximal inequality to a class of oscillatory integrals
... 25. Lucà, R., Rogers, K.: An improved necessary condition for the Schrödinger maximal estimate. arXiv:1506.05325 26. Niu, Y., Xue, Y.: Global maximal estimate to some oscillatory integrals. Bull. Korean ...
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Norm inequalities for the conjugate operator in two weighted Lebesgue spaces
... Littlewood maximal operator and the Hilbert transform. In this article, we prove the converse of the main theorem of [5] by adding a doubling condition for a weight func- tion. And then by adding a suitable ...
14
Meda Inequality for Rearrangements of the Convolution on the Heisenberg Group and Some Applications
... With the help of this inequality, we obtain some sufficient and necessary conditions for the boundedness of the fractional maximal operator MΩ,α and fractional integral operator IΩ,α with [r] ...
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ON THE BOUNDEDNESS OF DUNKL-TYPE FRACTIONAL INTEGRAL OPERATOR IN THE GENERALIZED DUNKL-TYPE MORREY SPACES
... Hardy–Littlewood maximal function, fractional maximal function and frac- tional integrals are important technical tools in harmonic analysis, theory of functions and partial differential ...the ...
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Characterizations for the Riesz potential and its commutators on generalized Orlicz Morrey spaces
... Guliyev, VS, Shukurov, PS: On the boundedness of the fractional maximal operator, Riesz potential and their commutators in generalized Morrey spaces.. In: Advances in Harmonic Analysis a[r] ...
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Strongly singular Calderón Zygmund operators and commutators on weighted Morrey spaces
... Hardy-Littlewood maximal operator, the fractional integral opera- tor, and the classical Calderón-Zygmund singular integral operator on these weighted ...
15
Necessary and sufficient conditions for the boundedness of rough multilinear fractional operators on Morrey type spaces
... n ≥ . As one of the most important multilinear operators, the multilinear fractional inte- gral operator has been widely studied; we refer the reader to [–] for an overview. In this paper, we study the ...
12
Toeplitz type operators in weighted Morrey spaces
... Hardy-Littlewood maximal operator, the singular integral operator, the frac- tional integral operator and the commutator of these operators in Morrey spaces have been studied by many authors; ...
9
ON THE BOUNDEDNESS OF DUNKL-TYPE MAXIMAL COMMUTATORS IN THE DUNKL-TYPE MODIFIED MORREY SPACES
... [17] Y.Y. Mammadov, S.A.Hasanli, On the boundedness of commutators Dunkl-type maximal operator in the Dunkl-type Morrey spaces, Caspian J. of Appl. Mathematics, Ecology and Economics, 6, No 1 (2018), 37-52. ...
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Operator representation of sectorial linear relations and applications
... Instead of considering non-closed subspaces S of H × H one can in general consider, as we do, linear relations in H whose graphs are not necessarily closed subspaces of H × H. The main objective of this paper is to show ...
16
Solvability of Extended General Strongly Mixed Variational Inequalities
... complicated operator is split into the sum of two simpler ...the operator equa- tion T x ± Ax = x is considered as a perturbation of T x = x (or Ax = x), and one would like to assert that the original ...
9
Embedding theorems in Banach valued spaces and maximal regular differential operator equations
... spaces have been investigated in [28–31] and [23, 24], respectively. Embedding theorems in Banach-valued Besov spaces have been studied in [4, 5, 27, 32]. The solvability and spectrum of boundary value problems for ...
22
Composite iterative schemes for maximal monotone operators in reflexive Banach spaces
... be maximal monotone if its graph is not contained in the graph of any other monotone operator on ...is maximal monotone, then the set A -1 (0*) = {z Î E : 0* Î Az} is closed and ...
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Embedding operators and maximal regular differential operator equations in Banach valued function spaces
... Moreover, boundary value problems for di ff erential-operator equations have been stud- ied in detail by [16, 27, 30, 32]. The solvability and the spectrum of boundary value prob- lems for elliptic ...
17