The Maximal L p Regularity Theorem
PERTURBATION, INTERPOLATION, AND MAXIMAL REGULARITY
... We conclude this introduction with the following two remarks. First, in this paper we concentrate on perturbations with small norm in the sense of kBxk ≤ ηkAxk, η small. This is the interesting case, since perturbations ...
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Maximal Lp Regularity of Deterministic and Stochastic PDEs
... multiplier theorem, we will make extensive use of a concept called ‘R-boundedness’ that concerns randomly weighted sums of elements of Banach ...of Maximal L p -regularity might ...
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Maximal Regularity of the Discrete Harmonic Oscillator Equation
... well-known theorem that the set of Banach spaces of class HT coincides with the class of UMD ...∈ l p Z; X the Fourier transform on T is defined ...
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END-POINT MAXIMAL $L^1$ REGULARITY FOR A CAUCHY PROBLEM TO PARABOLIC EQUATIONS (Regularity and Singularity for Partial Differential Equations with Conservation Laws)
... $\Vert f\Vert_{L_{j}^{r}}\equiv\Vert\phi_{j}*f\Vert_{p}$ . As in the constant coefficient case, our method is very much different from theirs. We use the estimate for the constant coefficient case (Theorem 2.1) ...
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CiteSeerX — Maximal Regularity for a Degenerate Operator for Fourth Order
... In Section 3 we will outline the proof of Propositions 2.2 and 2.3, and the main steps in going from these to Theorem 2.1. The proof of Theorem 2.1 itself can be found in Section 7. Proofs of the various ...
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Endpoint regularity of discrete multilinear fractional nontangential maximal functions
... Let us recall the main result of [27], which can be stated as follows. Theorem 1.2 ([27]) Let 0 ≤ α < (m– 1)d+ 1. Then both M α and M α map 1 ( Z d ) × 1 ( Z d ) × · · · × 1 ( Z d ) into BV( Z d ) boundedly and ...
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Pointwise convergence, maximal functions and regularity issues in harmonic analysis
... Then there is a function N : R → R ≥0 such that Lip(N ) = c and V(M N 1 f ) = +∞. Acknowledgements. The author would like to thank Christoph Thiele, for the re- marks that led him to the full range α ≥ 1 3 at ...
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A note on discrete maximal regularity for functional difference equations with infinite delay
... where α and K are the constants of Definition 2.1(iii)–(iv). Remark 4.2. Note that in the preceding estimates, we get 1 /p = 0 for p = + ∞ . We now want to present an example to illustrate the usefulness of ...
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Quasilinear parabolic stochastic evolution equations via maximal Lp-regularity
... ∈ L m (Ω; L ∞ (0, T ; L m (D))) ∩ L 2 (Ω × [0, T ]; W 0 1,2 (D)) for all m ∈ [2, ∞) and u : [0, τ] → L 2 (D) is pathwise uniformly ...classical regularity result about ...
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Endpoint regularity of discrete multisublinear fractional maximal operators associated with \(\ell^{1}\) balls
... The regularity theory of maximal operators has been the subject of many recent articles in harmonic ...Sobolev regularity of the centered Hardy–Littlewood maximal function M and proved that M ...
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Maximal regularity properties of Agranovich Vishik type abstract elliptic operators in the half plane
... derive maximal regularity properties of these operators in UMD-valued Sobolev ...embedding theorem and the trace theorem, we obtain the main ...
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On the Maximal Domain Theorem
... The maximal domain theorem by Gul and Stacchetti (J. Econ. Theory 87 (1999), 95-124) implies that for markets with indivisible objects and sufficiently many agents, the set of gross substitutable ...
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L p regularity for elliptic operators with unbounded coefficients
... (H4) The function F ∈ C 1 (R N , R N ) satisfies |F | ≤ κU 1 2 for some constant κ > 0. (H5) There is a constant θ < p such that θU + div F ≥ 0. We will also require below that γ > 0 is sufficiently small. The ...
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On P Regularity of Acts
... Received September 27, 2011; revised December 17, 2011; accepted December 30, 2011 ABSTRACT By a regular act we mean an act that all its cyclic subacts are projective. In this paper we introduce ...
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Birkhoff’s individual ergodic theorem and maximal ergodic theorem for fuzzy dynamical systems
... on the other hand, they enable one to study more general situations. The aim of this pa- per is to generalize some other assertions valid in the classical ergodic theory to the case of fuzzy dynamical systems. In Section ...
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Minimizing the regularity of maximal regular antichains of 2-sets and 3-sets
... In particular, he studied the problem for which values of r there are maximal flat antichains such that every element of the ground set occurs exactly r times. The same problem without the maximality and flatness ...
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Maximal Regularity in Weighted Spaces, Nonlinear Boundary Conditions, and Global Attractors
... W p 2 for large p, but often the structure of the problems under consideration does not provide enough information for a priori estimates in such high ...in L ∞ or in a Hölder space C α with small ...
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On maximal subalgebras and a generalised Jordan Holder Theorem for Lie algebras
... Key Words and Phrases: Lie algebras, chief factor, chief series, sup- plemented, complemented, primitive, m-crossing, m-related 1 Introduction Throughout L will denote a finite-dimensional Lie algebra over a field ...
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Maximal function and multiplier theorem for weighted space on the unit sphere
... Abstract For a family of weight functions invariant under a finite reflection group, the boundedness of a maximal function on the unit sphere is established and used to prove a multiplie[r] ...
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Maximal and minimal point theorems and Caristi's fixed point theorem
... This study is concerned with the existence of fixed points of Caristi-type mappings motivated by a problem stated by Kirk. First, several existence theorems of maximal and minimal points are established. By using ...
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