Paul Müller

Search results

• 2024

  Martingale type, the Gamlen-Gaudet construction and a greedy algorithm

  Kazaniecki, K. & Müller, P., May 2024, In: Journal of Functional Analysis. 286, 9, 43 p., 110369.

  Research output: Contribution to journal › Article › peer-review

  Open Access

• Multipliers on bi-parameter Haar system Hardy spaces

  Lechner, R., Müller, P., Schlumprecht, T. & Motakis, P., Dec 2024, In: Mathematische Annalen. 390, 4, p. 5669-5752 84 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
• 2022

  Conditional square functions, the sine-cosine decomposition for Hardy martingales and dyadic perturbation

  Müller, P., 2022, In: Colloquium Mathematicum. 167, 2, p. 329–340 12 p.

  Research output: Contribution to journal › Article › peer-review

• Hardy martingales—stochastic holomorphy, L^1-embeddings, and isomorphic invariants

  Müller, P., 2022, Cambridge: Cambridge University Press. 500 p. (New Mathematical Monographs)

  Research output: Book › Monograph

• Hypercontractivity on the unit circle for ultraspherical measures: linear case

  Ivanisvili, P., Lindenberger, A., Müller, P. & Schmuckenschläger, M., 2022, In: Revista Matemática Iberoamericana. 38, 4, p. 1335–1348 14 p.

  Research output: Contribution to journal › Article › peer-review

• The space L_1(L_p) is primary for 1<p<∞.

  Lechner, R., Motakis, P., Müller, P. & Schlumprecht, T., 2022, In: Forum of Mathematics, Sigma. 10, 36 p., e32.

  Research output: Contribution to journal › Article › peer-review
• 2021

  The factorisation property of ℓ^∞(X_k)

  Lechner, R., Motakis, P., Müller, P. & Schlumprecht, T., 2021, In: Mathematical Proceedings of the Cambridge Philosophical Society. 171, 2, p. 421–448 28 p.

  Research output: Contribution to journal › Article › peer-review
• 2020

  Almost everywhere convergence of spline sequences.

  Passenbrunner, M. & Müller, P., 2020, In: Israel Journal of Mathematics. 240, 1, p. 149-177 29 p.

  Research output: Contribution to journal › Article › peer-review

• Radial variation of Bloch functions on the unit ball of R^d

  Müller, P. & Riegler, K., 2020, In: Arkiv för Matematik. 58, 1, p. 161-178 17 p.

  Research output: Contribution to journal › Article › peer-review

• Strategically reproducible bases and the factorization property

  Lechner, R., Motakis, P., Müller, P. & Schlumprecht, T., 2020, In: Israel Journal of Mathematics. 238, 1, p. 13-60 48 p.

  Research output: Contribution to journal › Article › peer-review
• 2019

  Interpolation for Hardy spaces: Marcinkiewicz decomposition, complex interpolation and holomorphic martingales

  Müller, P. & Yudytskiy, P., 2019, In: Colloquium Mathematicum. 158, 1, p. 141-155 16 p.

  Research output: Contribution to journal › Article › peer-review
• 2018

  Factorization of the identity through operators with large diagonal

  Laustsen, N. J., Lechner, R. & Müller, P., 2018, In: Journal of Functional Analysis. 275, 11, p. 3169–3207 39 p.

  Research output: Contribution to journal › Article › peer-review
• 2017

  Absolutely summing operators and atomic decomposition in bi-parameter Hardy spaces

  Müller, P. & Penteker, J., 2017, In: Proceedings of the American Mathematical Society. 145, 3, p. 1221-1230 10 p.

  Research output: Contribution to journal › Article › peer-review

• A Decomposition for Hardy Martingales III

  Müller, P., 2017, In: Mathematical Proceedings of the Cambridge Philosophical Society. 162, 1, p. 173-189 17 p.

  Research output: Contribution to journal › Article › peer-review
• 2016

  Interpolatory Estimates, Riesz Transforms and Wavelet Projections

  Müller, P. & Müller, S., 2016, In: Revista Matemática Iberoamericana. 25 p.

  Research output: Contribution to journal › Article › peer-review

• Localization and projections on bi-parameter BMO

  Müller, P. & Lechner, R., 2016, In: The Quarterly Journal of Mathematics. 66, 4, p. 1069-1101 33 p.

  Research output: Contribution to journal › Article › peer-review
• 2015

  P-summing multiplication operators, dyadic Hardy spaces and atomic decomposition

  Müller, P. & Penteker, J., 2015, In: Houston Journal of Mathematics. 41, p. 639-668 20 p.

  Research output: Contribution to journal › Article › peer-review

• 2014

  A decomposition for Hardy martingales. Part II

  Müller, P., 2014, In: Mathematical Proceedings of the Cambridge Philosophical Society. 42 p.

  Research output: Contribution to journal › Article › peer-review

• Combinatorics of dyadic intervals: consistent colourings

  Müller, P. & Kamont, A., 2014, In: Bulletin of the Polish Academy of Sciences - Mathematics. 62, 2, p. 101-115 15 p.

  Research output: Contribution to journal › Article › peer-review
• 2013

  Rearrangements with supporting trees, isomorphisms and shift operators

  Müller, P. & Kamont, A., 2013, In: Mathematische Zeitschrift. 274, 1-2, p. 57-83 17 p.

  Research output: Contribution to journal › Article › peer-review
• 2012

  A decomposition theorem for singular integral operators on spaces of homogeneous type

  Müller, P. & Passenbrunner, M., 2012, In: Journal of Functional Analysis. 4, p. 1427-1465 38 p.

  Research output: Contribution to journal › Article › peer-review

• A thin-thick Decomposition for Hardy Martingales

  Müller, P., 2012, In: Indiana University Mathematics Journal. 20 p.

  Research output: Contribution to journal › Article › peer-review

• Compensated Compactness, Separately convex Functions and Interpolatory Estimates between Riesz Transforms and Haar Projections

  Müller, P., Müller, S. & Jihoon, L., 2012, In: Communications in Partial Differential Equations. 36, p. 547-601 54 p.

  Research output: Contribution to journal › Article › peer-review

• Extrapolation of Vector valued Rearrangement Operators II

  Müller, P., 2012, In: Journal of the London Mathematical Society. 16 p.

  Research output: Contribution to journal › Article › peer-review

• Two remarks on primary spaces

  Müller, P., 2012, In: Mathematical Proceedings of the Cambridge Philosophical Society. 153, 3, p. 505-523 19 p.

  Research output: Contribution to journal › Article › peer-review
• 2011

  Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections

  Müller, P., Müller, S. & Lee, J., 2011, In: Communications in Partial Differential Equations. 36, 4, p. 547-601 15 p.

  Research output: Contribution to journal › Article › peer-review

• 2009

  Extrapolation of vector-valued rerrangement operators

  Müller, P. & Geiss, S., 2009, In: Journal of the London Mathematical Society. 80, 3, 17 p.

  Research output: Contribution to journal › Article › peer-review

• 2008

  A rough differentiable function

  Müller, P. & Kirchheim, B., 2008, In: Proceedings of the American Mathematical Society. 136, 3, 7 p.

  Research output: Contribution to journal › Article › peer-review

• Haar type and Carleson constants

  Müller, P. & Geiss, S., 2008, In: Bulletin of the London Mathematical Society. 40, 3, p. 432-438 7 p.

  Research output: Contribution to journal › Article › peer-review
• 2006

  A martingale approach to general Franklin systems

  Müller, P., 2006, In: Studia Mathematica. 177, 26 p.

  Research output: Contribution to journal › Article › peer-review

• 2005

  A remark on extrapolation of rearrangement operators on dyadic Hs, 0 < s \le 1.

  Müller, P., 2005, In: Studia Mathematica. 1000 p.

  Research output: Contribution to journal › Article › peer-review

• Isomorphisms between H1 spaces

  Müller, P., 2005, Basel: Birkhaeuser. 456 p. (Monografie Matematyczne)

  Research output: Book › Monograph

• 2004

  Conditioned Brownian Motion and Multipliers into SL^\infty.

  Müller, P., 2004, In: Geometric and Functional Analysis. 14, 60 p.

  Research output: Contribution to journal › Article › peer-review

• 2002

  A Family of complemented Subspaces in VMO and its isomorphic Classification

  Müller, P., 2002, In: Israel Journal of Mathematics. 134, 18 p.

  Research output: Contribution to journal › Article › peer-review

• A Family of complemented Subspaces in VMO and its isomorphic Classification

  Müller, P., 2002, In: Israel Journal of Mathematics. 134, 7 p.

  Research output: Contribution to journal › Article › peer-review

• A simplification in the proof of the non-isomorphism between H1(δ) and H1(δ2)

  Müller, P., 2002, In: Studia Mathematica. 150, 4 p.

  Research output: Contribution to journal › Article › peer-review

• 2001

  A Simplification in the Proof of the Non-isomorphism between $H1(\delta)$ and $H1(\delta2)$

  Müller, P., 2001, In: Studia Mathematica. 150, 4 p.

  Research output: Contribution to journal › Article › peer-review

• 1999

  Addendum to: Universal covering maps and radial variation

  Jones, P. W. & Müller, P., Sept 1999, ESI preprint 725. 9 p.

  Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings

• A remark on a martingale inequality of J. Bourgain

  Müller, P., Sept 1999, ESI preprint 726. 6 p.

  Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings

• Bounded Plateau and Weierstrass martingales with infinite variation in each direction

  Müller, P., Dec 1999, In: Acta Mathematica Universitatis Comenianae. 68, p. 325-335 11 p.

  Research output: Contribution to journal › Article › peer-review

• Uniformly Wiggly Domains and Radial Variations

  Müller, P., Dec 1999, In: Acta Mathematica Universitatis Comenianae. 68, p. 319-323 5 p.

  Research output: Contribution to journal › Article › peer-review

• Universal covering maps and radial variations

  Jones, P. W. & Müller, P., Dec 1999, In: Geometric & Functional Analysis GAFA. 9, p. 675–698 24 p.

  Research output: Contribution to journal › Article › peer-review
• 1998

  Universal covering maps and radial Variation

  Jones, P. W. & Müller, P., 1998.

  Research output: Working paper and reports › Preprint

• 1997

  A remarkable Permutation of the Haar system

  Müller, P., 1997, In: Proceedings of the American Mathematical Society.

  Research output: Contribution to journal › Article › peer-review

• Radial Variaton of Bloch functions

  Jones, P. W. & Müller, P., 1997, In: Mathematical Research Letters.

  Research output: Contribution to journal › Article › peer-review

• The bounded rearrangement of the Haar system in BMO

  Müller, P., 1997, In: Proceedings of the American Mathematical Society.

  Research output: Contribution to journal › Article › peer-review

• 1996

  Two Remarks on Marcinkiewicz decomposition by Holomorphic Martingales

  Müller, P., 1996, In: Bulletin of the London Mathematical Society.

  Research output: Contribution to journal › Article › peer-review

• 1995

  Holomorphic Martingales and Interpolation between Hardy Spaces: The Complex Method

  Müller, P., 1995, In: Transactions of the American Mathematical Society.

  Research output: Contribution to journal › Article › peer-review

• Jean Bourgain4s Analytic Partition of Unity via Holomorphic Martingales

  Müller, P., 1995, In: Pacific Journal of Mathematics.

  Research output: Contribution to journal › Article › peer-review

• The Banach Space H1(X,d,5), Part I

  Müller, P., 1995, In: Mathematische Annalen.

  Research output: Contribution to journal › Article › peer-review