The Bellman functions of dyadic-like maximal operators and related inequalities
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Publication:1771323
DOI10.1016/j.aim.2004.04.013zbMath1084.42016OpenAlexW2024694313MaRDI QIDQ1771323
Publication date: 21 April 2005
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2004.04.013
Related Items (45)
Dyadic \(A_1\) weights and equimeasurable rearrangements of functions ⋮ Best constants in weighted estimates for dyadic shifts ⋮ The Gehring lemma: dimension free estimates ⋮ The Bellman function of the dyadic maximal operator in connection with the dyadic Carleson imbedding theorem ⋮ The Bellman function of the dyadic maximal operator related to Kolmogorov's inequality ⋮ Dyadic-like maximal operators on \(L \log L\) functions ⋮ Sharp integral inequalities for the dyadic maximal operator and applications ⋮ Theory of locally concave functions and its applications to sharp estimates of integral functionals ⋮ Local lower norm estimates for dyadic maximal operators and related Bellman functions ⋮ The foundational inequalities of D. L. Burkholder and some of their ramifications ⋮ Sharp logarithmic estimates for positive dyadic shifts ⋮ A sharp integral inequality for the dyadic maximal operator and a related stability result ⋮ A sharp two-weight estimate for the maximal operator under a bump condition ⋮ Fefferman-Stein inequalities for the dyadic-like maximal operators ⋮ \(BLO\) class under the change of measure ⋮ Best constants for a family of Carleson sequences ⋮ On A_p–A_q weighted estimates for maximal operators ⋮ SHARP WEIGHTED BOUNDS FOR GEOMETRIC MAXIMAL OPERATORS ⋮ Extremizers and sharp weak-type estimates for positive dyadic shifts ⋮ Monge-Ampère equations and Bellman functions: the dyadic maximal operator ⋮ Sharp weak type inequalities for the dyadic maximal operator ⋮ Sharp \(L^{p,\infty}\to L^q\) estimates for the dyadic-like maximal operators ⋮ Dyadic-like maximal operators on integrable functions and Bellman functions related to Kolmogorov’s inequality ⋮ An extension of a Hardy's inequality and its applications ⋮ On weak type inequalities for dyadic maximal functions ⋮ Bellman Function for Extremal Problems in BMO II: Evolution ⋮ Sharp Lorentz estimates for dyadic-like maximal operators and related Bellman functions ⋮ Sharp results in the integral-form John–Nirenberg inequality ⋮ Sharp general local estimates for dyadic-like maximal operators and related Bellman functions ⋮ An alternative approach to sharp $L^1$ estimates for the dyadic maximal operator ⋮ The geometry of the dyadic maximal operator ⋮ A SPLITTING PROCEDURE FOR BELLMAN FUNCTIONS AND THE ACTION OF DYADIC MAXIMAL OPERATORS ON ⋮ Extremal problems related to maximal dyadic-like operators ⋮ Stability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers ⋮ A sharp integral rearrangement inequality for the dyadic maximal operator and applications ⋮ Sharp \(L^p\) bound for holomorphic functions on the unit disc ⋮ Sharp weighted logarithmic bound for maximal operators ⋮ Sharp Lorentz-norm estimates for dyadic-like maximal operators ⋮ The $\boldsymbol {\mathrm {BMO}}\boldsymbol {\rightarrow }\boldsymbol {\mathrm {BLO}}$ action of the maximal operator on $\boldsymbol \alpha $-trees ⋮ An eigenfunction stability estimate for approximate extremals of the Bellman function for the dyadic maximal operator on 𝐿^{𝑝} ⋮ Sharp weighted inequalities for harmonic maximal operators ⋮ Extremal sequences for the Bellman function of three variables of the dyadic maximal operator related to Kolmogorov’s inequality ⋮ Sharp local lower 𝐿^{𝑝}-bounds for Dyadic-like maximal operators ⋮ Sharp inequalities for BMO functions ⋮ Two-weight inequality for operator-valued positive dyadic operators by parallel stopping cubes
Cites Work
- Boundary value problems and sharp inequalities for martingale transforms
- Sharp results in the integral-form John–Nirenberg inequality
- The Bellman functions and two-weight inequalities for Haar multipliers
- Sharp Maximal Inequalities for Conditionally Symmetric Martingales and Brownian Motion
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